Part of the Mathematics Commons

Works by Reinhard E. Piltner in Mathematics

2018

Spatiotemporal Interpolation Methods for the Application of Estimating Population Exposure to Fine Particulate Matter in the Contiguous U.S. and a Real-Time Web Application, Lixin Li, Xiaolu Zhou, Marc Kalo, Reinhard E. Piltner
Reinhard E. Piltner

A New Shape Function Based Spatiotemporal Interpolation Method, Lixin Li, Youming Li, Reinhard E. Piltner
Reinhard E. Piltner

Voronoi Region-Based Spatiotemporal GIS Databases, Lixin Li, Reinhard E. Piltner
Reinhard E. Piltner

A Spatiotemporal Database for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Reinhard E. Piltner

The Use of Discretized Cauchy Integrals for Finite Elements, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

A Study of Smart Growth Initiatives Using GIS: The Case of Austin, Texas, Wei Tu, Lixin Li, Reinhard E. Piltner
Reinhard E. Piltner

Image Based Modeling of Abdominal Aortic Aneurysms, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

Comparison of Deterministic and Stochastic Spatiotemporal Interpolation Methods for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Reinhard E. Piltner

Solving Plate Bending Problems With Discretized Cauchy Integrals, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

A Comparison of Mixed-Enhanced Finite Elements, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

Spatiotemporal Interpolation and Constraint Databases for a GIS Application: Ozone in the Contiguous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Reinhard E. Piltner

A Study of Smart Growth Initiatives Using GIS: The Case of Austin, Texas, Wei Tu, Lixin Li, Reinhard E. Piltner
Reinhard E. Piltner

Comparison of Deterministic and Stochastic Spatiotemporal Interpolation Methods for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Reinhard E. Piltner

Development of Finite Element Models of Implants and Bones with Distributed Strength for Minimally Invasive Knee Replacement Surgery, Reinhard E. Piltner
Reinhard E. Piltner

A Spatiotemporal Database for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Reinhard E. Piltner

The Use of Discretized Cauchy Integrals for Finite Elements, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

A Comparison of Mixed-Enhanced Finite Elements, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

A New Shape Function Based Spatiotemporal Interpolation Method, Lixin Li, Youming Li, Reinhard E. Piltner
Reinhard E. Piltner

Spatiotemporal Interpolation and Constraint Databases for a GIS Application: Ozone in the Contiguous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Reinhard E. Piltner

Image Based Modeling of Abdominal Aortic Aneurysms, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

Voronoi Region-Based Spatiotemporal GIS Databases, Lixin Li, Reinhard E. Piltner
Reinhard E. Piltner

2016

Spatiotemporal Interpolation Methods for the Application of Estimating Population Exposure to Fine Particulate Matter in the Contiguous U.S. and a Real-Time Web Application, Lixin Li, Xiaolu Zhou, Marc Kalo, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Publications

PDF

2015

Mixed-Enhanced Quadrilateral Finite Elements with Wachspress-Type Functions, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

Fast Inverse Distance Weighting-Based Spatiotemporal Interpolation: A Web-Based Application of Interpolating Daily Fine Particulate Matter PM2.5 in the Contiguous U.S. Using Parallel Programming and k-d Tree, Lixin Li, Travis Losser, Charles Yorke, Reinhard E. Piltner
Reinhard E. Piltner

A Spatiotemporal Interpolation Method Using Radial Basis Functions for Geospatiotemporal Big Data, Travis Losser, Lixin Li, Reinhard E. Piltner
Reinhard E. Piltner

2014

Utilizing Discretized Cauchy Integrals for the Trefftz Method, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

Fast Inverse Distance Weighting-Based Spatiotemporal Interpolation: A Web-Based Application of Interpolating Daily Fine Particulate Matter PM2.5 in the Contiguous U.S. Using Parallel Programming and k-d Tree, Lixin Li, Travis Losser, Charles Yorke, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Publications

PDF

A Spatiotemporal Interpolation Method Using Radial Basis Functions for Geospatiotemporal Big Data, Travis Losser, Lixin Li, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Presentations

A Spatiotemporal Interpolation Method Using Radial Basis Functions for Geospatiotemporal Big Data, Travis Losser, Lixin Li, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Publications

A Spatiotemporal Interpolation Method Using Radial Basis Functions for Geospatiotemporal Big Data, Travis Losser, Lixin Li, Reinhard E. Piltner
Reinhard E. Piltner

2013

Constructing Harmonic and Biharmonic Functions for Plane Deformations in a Snake Segmentation Tool, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

2011

Plane Strain Finite Elements with Wachspress-Type Functions, Reinhard E. Piltner
Reinhard E. Piltner

Mixed-Enhanced Quadrilateral Finite Elements with Wachspress-Type Functions, Reinhard E. Piltner, Lixin Li
Department of Mathematical Sciences Faculty Publications

Mixed-Enhanced Quadrilateral Finite Elements with Wachspress-Type Funtions, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

Spatiotemporal Interpolation Methods for Air Pollution Exposure, Reinhard E. Piltner, Lixin Li, Xingyou Zhang, James B. Holt, Jie Tian, Reinhard Piltner
Reinhard E. Piltner

2009

Comparison of Deterministic and Stochastic Spatiotemporal Interpolation Methods for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Publications

Comparison of Deterministic and Stochastic Spatiotemporal Interpolation Methods for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Presentations

Solving Plate Bending Problems With Discretized Cauchy Integrals, Reinhard E. Piltner, Lixin Li
Department of Mathematical Sciences Faculty Publications

Solving Plate Bending Problems with Discretized Cauchy Integrals, Reinhard E. Piltner, Lixin Li
Reinhard E. Piltner

2008

Some Remarks on Complex Solution Representations in Elasticity and Their Use for Numerical Methods, Reinhard E. Piltner
Reinhard E. Piltner

Utilizing Discretized Cauchy Integrals for the Trefftz Method, Reinhard E. Piltner, Lixin Li
Department of Mathematical Sciences Faculty Publications

2007

The Use of Discretized Cauchy Integrals for Finite Elements, Reinhard E. Piltner, Lixin Li
Department of Mathematical Sciences Faculty Publications

The Use of Discretized Cauchy Integrals for Finite Elements, Reinhard E. Piltner, Lixin Li
Department of Mathematical Sciences Faculty Presentations

Spatiotemporal Interpolation and Constraint Databases for a GIS Application: Ozone in the Contiguous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Presentations

Spatiotemporal Interpolation and Constraint Databases for a GIS Application: Ozone in the Contiguous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Publications

2006

A Spatiotemporal Database for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Presentations

A Spatiotemporal Database for Ozone in the Conterminous U.S., Lixin Li, Xingyou Zhang, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Publications

2005

Image Based Modeling of Abdominal Aortic Aneurysms, Reinhard E. Piltner, Lixin Li
Department of Mathematical Sciences Faculty Publications

Image Based Modeling of Abdominal Aortic Aneurysms, Reinhard E. Piltner, Lixin Li
Department of Mathematical Sciences Faculty Presentations

A Comparison of Mixed-Enhanced Finite Elements, Reinhard E. Piltner, Lixin Li
Department of Mathematical Sciences Faculty Presentations

A Comparison of Mixed-Enhanced Finite Elements, Reinhard E. Piltner, Lixin Li
Department of Mathematical Sciences Faculty Publications

A Study of Smart Growth Initiatives Using GIS: The Case of Austin, Texas, Wei Tu, Lixin Li, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Publications

A Study of Smart Growth Initiatives Using GIS: The Case of Austin, Texas, Wei Tu, Lixin Li, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Presentations

2004

A New Shape Function Based Spatiotemporal Interpolation Method, Lixin Li, Youming Li, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Presentations

A New Shape Function Based Spatiotemporal Interpolation Method, Lixin Li, Youming Li, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Publications

Development of Finite Element Models of Implants and Bones with Distributed Strength for Minimally Invasive Knee Replacement Surgery, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Presentations

Voronoi Region-Based Spatiotemporal GIS Databases, Lixin Li, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Publications

Voronoi Region-Based Spatiotemporal GIS Databases, Lixin Li, Reinhard E. Piltner
Department of Mathematical Sciences Faculty Presentations

2003

Hexahedral Solid Elements with Enhanced Strains, Reinhard E. Piltner
Reinhard E. Piltner

Solution Representations for Trefftz-Type Plate Bending Elements, Reinhard E. Piltner
Reinhard E. Piltner

Solution Representations for Trefftz-Type Plate Bending Elements, Reinhard E. Piltner
Reinhard E. Piltner

Computational Modeling of Novel Implants for Minimally Invasive Knee Replacement Surgery, Reinhard E. Piltner, S. Mupparapu, H. Haider, O. A. Barrera
Reinhard E. Piltner

Solution Representations for Trefftz-Type Finite Elements, Reinhard E. Piltner
Reinhard E. Piltner

The Derivation of Special Purpose Element Functions using Complex Solution Representations, Reinhard E. Piltner
Reinhard E. Piltner

2002

Discussion of “Development of Four-Node Membrane Element Containing Central Circular Hole” by A. K. Soh and Z. F. Long, Reinhard E. Piltner
Reinhard E. Piltner

Solution Representations for Trefftz-Type Finite Elements, Reinhard E. Piltner
Reinhard E. Piltner

Low Order Mixed Enhanced Finite Elements for Two- and Three-Dimensional Problems, Reinhard E. Piltner
Reinhard E. Piltner

Low Order Mixed Enhanced Finite Elements for Two- and Three-Dimensional Problems, Reinhard E. Piltner
Reinhard E. Piltner

Mixed Finite Elements with Voids and Inclusions, Reinhard E. Piltner
Reinhard E. Piltner

Mixed Finite Elements with Voids and Inclusions, Reinhard E. Piltner
Reinhard E. Piltner

Low Order Plate Bending Elements with Enhanced Strains, Reinhard E. Piltner
Reinhard E. Piltner

2001

Fracture Mechanics of Marble Using a Splitting Tension Test, T. Celestino, Reinhard E. Piltner, Paulo J.M. Monteiro, Claudia P. Ostertag
Reinhard E. Piltner

Comments on “Development of Two-Dimensional Elements with a Central Circular Hole", Reinhard E. Piltner
Reinhard E. Piltner

Comments on “A High Precision Element With a Central Circular Hole”, Reinhard E. Piltner
Reinhard E. Piltner

Mixed Finite Elements with Holes and Inclusions for the Analysis of Heterogeneous Materials, Reinhard E. Piltner
Reinhard E. Piltner

A Mixed Finite Element for Plate Bending with Eight Enhanced Strain Modes, Reinhard E. Piltner, Deepu S. Joseph
Reinhard E. Piltner

Low Order Plate Bending Elements with Enhanced Strains, Reinhard E. Piltner
Reinhard E. Piltner

An Accurate Low Order Plate Bending Element with Thickness Change and Enhanced Strains, Reinhard E. Piltner
Reinhard E. Piltner

Overview about Solution Representations for Elasticity Problems and Some Selected Particular Solutions, Reinhard E. Piltner
Reinhard E. Piltner

2000

An Alternative Version of the Pian-Sumihara Element with a Simple Extension to Non-linear Problems, Reinhard E. Piltner
Reinhard E. Piltner

Comments on “Series Solutions for a Transversely Loaded and Completely Clamped Thick Rectangular Plate Based on the Three-Dimensional Theory of Elasticity”, Reinhard E. Piltner
Reinhard E. Piltner

Stress Analysis of Expansive Reactions in Concrete, Reinhard E. Piltner, Paulo J.M. Monteiro
Reinhard E. Piltner

Triangular Finite Elements with Rotational Degrees of Freedom and Enhanced Strain Modes, Reinhard E. Piltner, Robert L. Taylor
Reinhard E. Piltner

An Implementation of Mixed Enhanced Finite Elements with Strains Assumed in Cartesian and Natural Element Coordinates using Sparse B(overline)-Matrices, Reinhard E. Piltner
Reinhard E. Piltner

1999

Mixed Enhanced Finite Elements with Strains Assumed in Cartesian and Natural Element Coordinates, Reinhard E. Piltner
Reinhard E. Piltner

Two- and Three-Dimensional Mixed Enhanced Finite Elements with Orthogonal Stress and Strain Functions, Reinhard E. Piltner
Reinhard E. Piltner

A Systematic Construction of B-Bar Functions for Linear and Non-linear Mixed-enhanced Finite Elements for Plane Elasticity Problems, Reinhard E. Piltner, Robert L. Taylor
Reinhard E. Piltner

Mixed Enhanced Finite Elements with Strains Assumed in Cartesian and Natural Element Coordinates, Reinhard E. Piltner
Reinhard E. Piltner

1998

Efficient Versions of Mixed Enhanced Finite Elements with Strains Assumed in Cartesian and Natural Element Coordinates, Reinhard E. Piltner
Reinhard E. Piltner

Experimental and Numerical Analysis on the Influence of Local Stress Concentrations on Crack Initiation in Welded Steel Beam Column Connection, Reinhard E. Piltner
Reinhard E. Piltner

Experimental and Numerical Analysis on the Influence of Local Stress Concentrations on Crack Initiation in Welded Steel Beam Connections, Reinhard E. Piltner
Reinhard E. Piltner

Efficient Versions of Mixed Enhanced Finite Elements with Strains Assumed in Cartesian and Natural Element Coordinates, Reinhard E. Piltner
Reinhard E. Piltner

1997

A Quadrilateral Mixed Enhanced Finite Element with Strains Assumed in Cartesian Coordinates, Reinhard E. Piltner
Reinhard E. Piltner

On the Systematic Construction of Trial Functions for Hybrid Trefftz Shell Elements, Reinhard E. Piltner
Reinhard E. Piltner

1996

On the Systematic Construction of Trial Functions for Hybrid Trefftz Shell Elements, Reinhard E. Piltner
Reinhard E. Piltner

On the Systematic Construction of Trial Functions for Hybrid Trefftz Shell Elements, Reinhard E. Piltner
Reinhard E. Piltner

1995

A Quadrilateral Mixed Finite Element with Two Enhanced Strain Modes, Reinhard E. Piltner, Robert L. Taylor
Reinhard E. Piltner

New Developments in Enhanced Strain Finite Elements for Linear and Non-Linear Applications, Reinhard E. Piltner
Reinhard E. Piltner

Recent Developments in the Trefftz-Method for Finite Element and Boundary Element Applications, Reinhard E. Piltner
Reinhard E. Piltner

1994

Trefftz-Type Boundary Elements for the Evaluation of Symmetric Coefficient Matrices, Reinhard E. Piltner
Reinhard E. Piltner

A Quadrilateral Mixed Finite Element with Two Enhanced Strain Modes, Reinhard E. Piltner
Reinhard E. Piltner

1992

On the Systematic Construction of Stress, Strain and Displacement Functions in Trefftz-Type Finite and Boundary Element Methods, Reinhard E. Piltner
Reinhard E. Piltner

The Derivation of a Thick and Thin Plate Formulation Without Ad Hoc Assumptions, Reinhard E. Piltner
Reinhard E. Piltner

The Use of Trefftz-Type Boundary Elements for the Evaluation of Symmetric Coefficient Matrices, Reinhard E. Piltner
Reinhard E. Piltner

Trefftz-Type Boundary Elements for Plate Problems, Reinhard E. Piltner
Reinhard E. Piltner

A Quadrilateral Hybrid Plate Bending Element for the Inclusion of Warping Based on a Three-Dimensional Plate Formulation, Reinhard E. Piltner
Reinhard E. Piltner

1991

Trefftz-Type Boundary Elements for Plate Problems, Reinhard E. Piltner
Reinhard E. Piltner

The Use of a Three-Dimensional Plate Formulation for the Inclusion of Warping and Transverse Shear Deformations in Hybrid Plate Bending Elements, Reinhard E. Piltner
Reinhard E. Piltner

The Inclusion of Shear Deformations in a Plate Bending Boundary Element Algorithm, Reinhard E. Piltner
Reinhard E. Piltner

Three-Dimensional Stress and Displacement Representations for Plate Problems, Reinhard E. Piltner
Reinhard E. Piltner

1990

The Inclusion of Shear Deformations in a Plate Bending Boundary Element Algorithm, Reinhard E. Piltner
Reinhard E. Piltner

The Solution of Plate Bending Problems with the Aid of a Boundary Element Algorithm Based on Singular Complex Functions, Reinhard E. Piltner, Robert L. Taylor
Reinhard E. Piltner

The Solution of Plate Bending Problems with the Aid of a Boundary Element Algorithm Based on Singular Complex Functions, Reinhard E. Piltner
Reinhard E. Piltner

The Use of the Cauchy Integral Formula to Construct Boundary Element Procedures in Elasticity, Reinhard E. Piltner
Reinhard E. Piltner

A Boundary Element Algorithm Using Compatible Boundary Displacements and Tractions, Reinhard E. Piltner, Robert L. Taylor
Reinhard E. Piltner

The Evaluation of Stiffness Matrices for Elasticity Problems with the Aid of Boundary Integrals, Reinhard E. Piltner
Reinhard E. Piltner

The Evaluation of Stiffness Matrices for Elasticity Problems with the Aid of Boundary Integrals, Reinhard E. Piltner, Robert L. Taylor
Reinhard E. Piltner

1989

A Boundary Element Algorithm for Plate Bending Problems Based on Cauchy’s Integral Formula, Reinhard E. Piltner
Reinhard E. Piltner

A Boundary Element Algorithm for Plate Bending Problems Based on Cauchy’s Integral Formula, Reinhard E. Piltner
Reinhard E. Piltner

A Boundary Element Procedure for Plane Elasticity Based on Cauchy’s Integral Formula, Reinhard E. Piltner, Robert L. Taylor
Reinhard E. Piltner

On the Representation of Three-Dimensional Elasticity Solutions with the Aid of Complex Valued Functions, Reinhard E. Piltner
Reinhard E. Piltner

A Boundary Element Procedure for Plane Elasticity Based on Cauchy’s Integral Formula, Reinhard E. Piltner
Reinhard E. Piltner

1988

The Application of a Complex 3-Dimensional Elasticity Solution Representation for the Analysis of a Thick Rectangular Plate, Reinhard E. Piltner
Reinhard E. Piltner

The Representation of Three-Dimensional Elastic Displacement Fields with the Aid of Complex Valued Functions for Several Curvilinear Coordinates, Reinhard E. Piltner
Reinhard E. Piltner

1987

The Use of Complex Valued Functions for the Solution of Three-Dimensional Elasticity Problems, Reinhard E. Piltner
Reinhard E. Piltner

1985

Special Finite Elements with Holes and Internal Cracks, Reinhard E. Piltner
Reinhard E. Piltner

Finite Elements With Trial Functions in the Sense of Trefftz, Reinhard E. Piltner
Reinhard E. Piltner

The Consideration of Singular Points in Finite Element Computations, Reinhard E. Piltner
Reinhard E. Piltner

Special Finite Elements for an Appropriate Treatment of Local Effects, Reinhard E. Piltner
Reinhard E. Piltner

Finite Elements with Internal and External Cracks, Reinhard E. Piltner
Reinhard E. Piltner

1984

Special Finite Elements for an Appropriate Treatment of Local Effects, Reinhard E. Piltner
Reinhard E. Piltner

Finite Elements with Trial Functions in the Sense of Trefftz, Reinhard E. Piltner
Reinhard E. Piltner

Spezielle problem angepaßte finite Elemente unter Verwendung von analytischen Teillösungen, Reinhard E. Piltner
Reinhard E. Piltner

1983

Special Problem Adapted Finite Elements, Reinhard E. Piltner
Reinhard E. Piltner

1982

Spezielle Finite Elemente mit Löchern, Ecken und Rissen unter Verwendung von analytischen Teillösungen, Reinhard E. Piltner
Reinhard E. Piltner