Leszek F. Demkowicz

Affiliations:
  • University of Texas at Austin, USA


According to our database1, Leszek F. Demkowicz authored at least 70 papers between 1993 and 2021.

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Bibliography

2021
Equivalence between the DPG method and the exponential integrators for linear parabolic problems.
J. Comput. Phys., 2021

A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems.
CoRR, 2021

An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics.
Comput. Math. Appl., 2021

An Lp-DPG method for the convection-diffusion problem.
Comput. Math. Appl., 2021

Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers.
Comput. Math. Appl., 2021

A numerical study of the pollution error and DPG adaptivity for long waveguide simulations.
Comput. Math. Appl., 2021

The double adaptivity paradigm: (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi).
Comput. Math. Appl., 2021

Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods.
Comput. Math. Appl., 2021

Analysis of non-conforming DPG methods on polyhedral meshes using fractional Sobolev norms.
Comput. Math. Appl., 2021

Deep Learning Driven Self-adaptive Hp Finite Element Method.
Proceedings of the Computational Science - ICCS 2021, 2021

2020
Construction of DPG Fortin operators revisited.
Comput. Math. Appl., 2020

The DPG-star method.
Comput. Math. Appl., 2020

2019
Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov-Galerkin Methods.
SIAM J. Numer. Anal., 2019

A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers.
J. Comput. Phys. X, 2019

A DPG Maxwell approach for studying nonlinear thermal effects in active gain fiber amplifiers.
CoRR, 2019

Alternative Enriched Test Spaces in the DPG Method for Singular Perturbation Problems.
Comput. Methods Appl. Math., 2019

Fast Integration of DPG Matrices Based on Sum Factorization for all the Energy Spaces.
Comput. Methods Appl. Math., 2019

Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods.
Comput. Methods Appl. Math., 2019

2017
A Spacetime DPG Method for the Schrödinger Equation.
SIAM J. Numer. Anal., 2017

Coupled variational formulations of linear elasticity and the DPG methodology.
J. Comput. Phys., 2017

Goal-oriented adaptive mesh refinement for non-symmetric functional settings.
CoRR, 2017

An adaptive DPG method for high frequency time-harmonic wave propagation problems.
Comput. Math. Appl., 2017

Construction of DPG Fortin operators for second order problems.
Comput. Math. Appl., 2017

Minimum Residual and Least Squares Finite Element Methods II.
Comput. Math. Appl., 2017

Prof. Ivo Babuška.
Comput. Math. Appl., 2017

2016
Breaking spaces and forms for the DPG method and applications including Maxwell equations.
Comput. Math. Appl., 2016

2015
Quasi-linear computational cost adaptive solvers for three dimensional modeling of heating of a human head induced by cell phone.
J. Comput. Sci., 2015

A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations.
J. Comput. Phys., 2015

Orientation embedded high order shape functions for the exact sequence elements of all shapes.
Comput. Math. Appl., 2015

2014
A Posteriori Error Control for DPG Methods.
SIAM J. Numer. Anal., 2014

The DPG method for the Stokes problem.
Comput. Math. Appl., 2014

Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems.
Comput. Math. Appl., 2014

A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms.
Comput. Math. Appl., 2014

Minimum Residual and Least Squares Finite Element Methods.
Comput. Math. Appl., 2014

2013
Robust DPG Method for Convection-Dominated Diffusion Problems.
SIAM J. Numer. Anal., 2013

A Unified Discontinuous Petrov-Galerkin Method and Its Analysis for Friedrichs' Systems.
SIAM J. Numer. Anal., 2013

Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations.
Math. Comput., 2013

A primal DPG method without a first-order reformulation.
Comput. Math. Appl., 2013

2012
A locking-free <i>hp</i> DPG method for linear elasticity with symmetric stresses.
Numerische Mathematik, 2012

Polynomial extension operators. Part III.
Math. Comput., 2012

Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version.
Eng. Comput., 2012

2011
Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis.
SIAM J. Numer. Anal., 2011

Analysis of the DPG Method for the Poisson Equation.
SIAM J. Numer. Anal., 2011

Discrete Compactness for the p-Version of Discrete Differential Forms.
SIAM J. Numer. Anal., 2011

Out-of-core multi-frontal solver for multi-physics hp adaptive problems.
Proceedings of the International Conference on Computational Science, 2011

A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D.
J. Comput. Phys., 2011

Mixed variable order h-finite element method for linear elasticity with weakly imposed symmetry. Curvilinear elements in 2D.
Comput. Methods Appl. Math., 2011

2010
A parallel direct solver for the self-adaptive hp Finite Element Method.
J. Parallel Distributed Comput., 2010

2009
Polynomial Extension Operators. Part II.
SIAM J. Numer. Anal., 2009

2008
PML Enhanced with a Self-Adaptive Goal-Oriented hp-Finite Element Method: Simulation of Through-Casing Borehole Resistivity Measurements.
SIAM J. Sci. Comput., 2008

Polynomial Extension Operators. Part I.
SIAM J. Numer. Anal., 2008

Polynomial extension operators for H<sup>1</sup>, H(curl) and H(div)-spaces on a cube.
Math. Comput., 2008

2007
A 3-D hp Finite/Infinite Element Method to Calculate Power Deposition in the Human Head.
IEEE Trans. Biomed. Eng., 2007

Using Cyber-Infrastructure for Dynamic Data Driven Laser Treatment of Cancer.
Proceedings of the Computational Science, 2007

2006
Simulation of multifrequency borehole resistivity measurements through metal casing using a goal-oriented hp finite-element method.
IEEE Trans. Geosci. Remote. Sens., 2006

Discrete Compactness for the hp Version of Rectangular Edge Finite Elements.
SIAM J. Numer. Anal., 2006

Two-Dimensional High-Accuracy Simulation of Resistivity Logging-While-Drilling (LWD) Measurements Using a Self-Adaptive Goal-Oriented hp Finite Element Method.
SIAM J. Appl. Math., 2006

Parallel, fully automatic <i>hp</i>-adaptive 3D finite element package.
Eng. Comput., 2006

Parallel hp-Finite Element Simulations of 3D Resistivity Logging Instruments.
Proceedings of the Leading the Web in Concurrent Engineering. Next Generation Concurrent Engineering, 2006


2004
Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations.
SIAM J. Numer. Anal., 2004

Reconstruction of G 1 Surfaces With Biquartic Patches for HP Fe Simulations.
Proceedings of the 13th International Meshing Roundtable, 2004

A Dynamic Data Driven Computational Infrastructure for Reliable Computer Simulations.
Proceedings of the Computational Science, 2004

2003
<i>p</i> Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions.
SIAM J. Numer. Anal., 2003

Full-wave analysis of dielectric waveguides at a given frequency.
Math. Comput., 2003

A Computational Infrastructure for Reliable Computer Simulations.
Proceedings of the Computational Science - ICCS 2003, 2003

2002
A Fully Automatic <i>hp</i>-Adaptivity.
J. Sci. Comput., 2002

2001
Analysis of a coupled finite-infinite element method for exterior Helmholtz problems.
Numerische Mathematik, 2001

Discrete compactness and the approximation of Maxwell's equations in R<sup>3</sup>.
Math. Comput., 2001

1993
An <i>h</i>-<i>r</i>-Adaptive Approximate Riemann Solver for the Euler Equations in Two Dimensions.
SIAM J. Sci. Comput., 1993


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