Leszek F. Demkowicz

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 45

Top Topics

Finite Element Method

Top Venues

Comput. Math. Appl.

Comput. Methods Appl. Math.

SIAM J. Numer. Anal.

Publications

Stefan Henneking, Socratis Petrides, Federico Fuentes, Jacob C. Badger, Leszek F. Demkowicz
$hp\mathrm{3D}$: A Scalable MPI/OpenMP $hp$-Adaptive Finite Element Software Library for Complex Multiphysics Applications. J. Open Source Softw. 9 (96) (2024)
Ankit Chakraborty, Stefan Henneking, Leszek F. Demkowicz
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov-Galerkin formulations. Comput. Math. Appl. 167 (2024)
Leszek F. Demkowicz, Jens Markus Melenk, Jacob C. Badger, Stefan Henneking
Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides. Adv. Comput. Math. 50 (3) (2024)
Judit Muñoz-Matute, Leszek F. Demkowicz
Multistage Discontinuous Petrov-Galerkin Time-Marching Scheme for Nonlinear Problems. SIAM J. Numer. Anal. 62 (4) (2024)
Jiaqi Li, Leszek F. Demkowicz
A DPG method for planar div-curl problems. Comput. Math. Appl. 159 (2024)
Jacob Badger, Stefan Henneking, Socratis Petrides, Leszek F. Demkowicz
Scalable DPG Multigrid Solver for Helmholtz Problems: A Study on Convergence. CoRR (2023)
Ankit Chakraborty, Stefan Henneking, Leszek F. Demkowicz
An Anisotropic hp-Adaptation Framework for Ultraweak Discontinuous Petrov-Galerkin Formulations. CoRR (2023)
Judit Muñoz-Matute, Leszek F. Demkowicz
Multistage DPG time-marching scheme for nonlinear problems. CoRR (2023)
Jacob Badger, Stefan Henneking, Socratis Petrides, Leszek F. Demkowicz
Scalable DPG multigrid solver for Helmholtz problems: A study on convergence. Comput. Math. Appl. 148 (2023)
Jens Markus Melenk, Leszek F. Demkowicz, Stefan Henneking
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides. CoRR (2023)
Leszek F. Demkowicz, Nathan V. Roberts, Judit Muñoz-Matute
The DPG Method for the Convection-Reaction Problem, Revisited. Comput. Methods Appl. Math. 23 (1) (2023)
Kamil Doleglo, Maciej Paszynski, Leszek F. Demkowicz
Deep Neural Networks and Smooth Approximation of PDEs. ICCS (1) (2022)
Yu Leng, Xiaochuan Tian, Leszek F. Demkowicz, Hector Gomez, John T. Foster
A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems. J. Comput. Phys. 452 (2022)
Stefan Henneking, Leszek F. Demkowicz
hp3D User Manual. CoRR (2022)
Kamil Doleglo, Anna Paszynska, Maciej Paszynski, Leszek F. Demkowicz
Deep neural networks for smooth approximation of physics with higher order and continuity B-spline base functions. CoRR (2022)
Jiaqi Li, Leszek F. Demkowicz
-DPG Method with Application to 2D Convection-Diffusion Problems. Comput. Methods Appl. Math. 22 (3) (2022)
Yu Leng, Xiaochuan Tian, Leszek F. Demkowicz, Hector Gomez, John T. Foster
A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems. CoRR (2021)
Leszek F. Demkowicz, Thomas Führer, Norbert Heuer, Xiaochuan Tian
The double adaptivity paradigm: (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi). Comput. Math. Appl. 95 (2021)
Socratis Petrides, Leszek F. Demkowicz
An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics. Comput. Math. Appl. 87 (2021)
Judit Muñoz-Matute, David Pardo, Leszek F. Demkowicz
Equivalence between the DPG method and the exponential integrators for linear parabolic problems. J. Comput. Phys. 429 (2021)
Stefan Wittschieber, Leszek F. Demkowicz, Marek Behr
Stabilized finite element methods for a fully-implicit logarithmic reformulation of the Oldroyd-B constitutive law. CoRR (2021)
Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. Comput. Math. Appl. 95 (2021)
Constantin Bacuta, Leszek F. Demkowicz, Jaime Mora, Christos Xenophontos
Analysis of non-conforming DPG methods on polyhedral meshes using fractional Sobolev norms. Comput. Math. Appl. 95 (2021)
Maciej Paszynski, Rafal Wojciech Grzeszczuk, David Pardo, Leszek F. Demkowicz
Deep Learning Driven Self-adaptive Hp Finite Element Method. ICCS (1) (2021)
Stefan Henneking, Leszek F. Demkowicz
A numerical study of the pollution error and DPG adaptivity for long waveguide simulations. Comput. Math. Appl. 95 (2021)
Jiaqi Li, Leszek F. Demkowicz
An Lp-DPG method for the convection-diffusion problem. Comput. Math. Appl. 95 (2021)
Stefan Henneking, Jacob Grosek, Leszek F. Demkowicz
Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers. Comput. Math. Appl. 85 (2021)
Socratis Petrides, Leszek F. Demkowicz
An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics. CoRR (2020)
Leszek F. Demkowicz, Jay Gopalakrishnan, Brendan Keith
The DPG-star method. Comput. Math. Appl. 79 (11) (2020)
Leszek F. Demkowicz, Pietro Zanotti
Construction of DPG Fortin operators revisited. Comput. Math. Appl. 80 (11) (2020)
Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan, Norbert Heuer
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. Comput. Methods Appl. Math. 19 (3) (2019)
Jacob Salazar, Jaime Mora, Leszek F. Demkowicz
Alternative Enriched Test Spaces in the DPG Method for Singular Perturbation Problems. Comput. Methods Appl. Math. 19 (3) (2019)
Brendan Keith, Ali Vaziri Astaneh, Leszek F. Demkowicz
Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov-Galerkin Methods. SIAM J. Numer. Anal. 57 (4) (2019)
Jaime Mora, Leszek F. Demkowicz
Fast Integration of DPG Matrices Based on Sum Factorization for all the Energy Spaces. Comput. Methods Appl. Math. 19 (3) (2019)
Sriram Nagaraj, Jacob Grosek, Socratis Petrides, Leszek F. Demkowicz, Jaime Mora
A 3D DPG Maxwell approach to nonlinear Raman gain in fiber laser amplifiers. J. Comput. Phys. X 2 (2019)
Stefan Henneking, Leszek F. Demkowicz
A numerical study of the pollution error and DPG adaptivity for long waveguide simulations. CoRR (2019)
Stefan Henneking, Jacob Grosek, Leszek F. Demkowicz
A DPG Maxwell approach for studying nonlinear thermal effects in active gain fiber amplifiers. CoRR (2019)
Federico Fuentes, Brendan Keith, Leszek F. Demkowicz, Patrick Le Tallec
Coupled variational formulations of linear elasticity and the DPG methodology. J. Comput. Phys. 348 (2017)
Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Sriram Nagaraj, Paulina Sepúlveda
A Spacetime DPG Method for the Schrödinger Equation. SIAM J. Numer. Anal. 55 (4) (2017)
Leszek F. Demkowicz, Rick Falk, Benqi Guo, Michael Vogelius, Zhimin Zhang
Prof. Ivo Babuška. Comput. Math. Appl. 74 (9) (2017)
Marc I. Gerritsma, Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan
Minimum Residual and Least Squares Finite Element Methods II. Comput. Math. Appl. 74 (8) (2017)
Brendan Keith, Ali Vaziri Astaneh, Leszek F. Demkowicz
Goal-oriented adaptive mesh refinement for non-symmetric functional settings. CoRR (2017)
Sriram Nagaraj, Socratis Petrides, Leszek F. Demkowicz
Construction of DPG Fortin operators for second order problems. Comput. Math. Appl. 74 (8) (2017)
Socratis Petrides, Leszek F. Demkowicz
An adaptive DPG method for high frequency time-harmonic wave propagation problems. Comput. Math. Appl. 74 (8) (2017)
Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan
Breaking spaces and forms for the DPG method and applications including Maxwell equations. Comput. Math. Appl. 72 (3) (2016)
Nathan V. Roberts, Leszek F. Demkowicz, Robert D. Moser
A discontinuous Petrov-Galerkin methodology for adaptive solutions to the incompressible Navier-Stokes equations. J. Comput. Phys. 301 (2015)
Robert Schaefer, Marcin Los, Marcin Sieniek, Leszek F. Demkowicz, Maciej Paszynski
Quasi-linear computational cost adaptive solvers for three dimensional modeling of heating of a human head induced by cell phone. J. Comput. Sci. 11 (2015)
Federico Fuentes, Brendan Keith, Leszek F. Demkowicz, Sriram Nagaraj
Orientation embedded high order shape functions for the exact sequence elements of all shapes. Comput. Math. Appl. 70 (4) (2015)
Jesse Chan, Norbert Heuer, Tan Bui-Thanh, Leszek F. Demkowicz
A robust DPG method for convection-dominated diffusion problems II: Adjoint boundary conditions and mesh-dependent test norms. Comput. Math. Appl. 67 (4) (2014)
Pavel B. Bochev, Leszek F. Demkowicz, Jay Gopalakrishnan, Max D. Gunzburger
Minimum Residual and Least Squares Finite Element Methods. Comput. Math. Appl. 68 (11) (2014)
Truman Ellis, Leszek F. Demkowicz, Jesse Chan
Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems. Comput. Math. Appl. 68 (11) (2014)
Carsten Carstensen, Leszek F. Demkowicz, Jayadeep Gopalakrishnan
A Posteriori Error Control for DPG Methods. SIAM J. Numer. Anal. 52 (3) (2014)
Nathan V. Roberts, Tan Bui-Thanh, Leszek F. Demkowicz
The DPG method for the Stokes problem. Comput. Math. Appl. 67 (4) (2014)
Leszek F. Demkowicz, Norbert Heuer
Robust DPG Method for Convection-Dominated Diffusion Problems. SIAM J. Numer. Anal. 51 (5) (2013)
Leszek F. Demkowicz, Jayadeep Gopalakrishnan
A primal DPG method without a first-order reformulation. Comput. Math. Appl. 66 (6) (2013)
Tan Bui-Thanh, Leszek F. Demkowicz, Omar Ghattas
A Unified Discontinuous Petrov-Galerkin Method and Its Analysis for Friedrichs' Systems. SIAM J. Numer. Anal. 51 (4) (2013)
Tan Bui-Thanh, Leszek F. Demkowicz, Omar Ghattas
Constructively well-posed approximation methods with unity inf-sup and continuity constants for partial differential equations. Math. Comput. 82 (284) (2013)
Antti H. Niemi, Ivo Babuska, Juhani Pitkäranta, Leszek F. Demkowicz
Finite element analysis of the Girkmann problem using the modern hp-version and the classical h-version. Eng. Comput. 28 (2) (2012)
Jamie Bramwell, Leszek F. Demkowicz, Jay Gopalakrishnan, Weifeng Qiu
DPG method for linear elasticity with symmetric stresses. Numerische Mathematik 122 (4) (2012)
Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl
Polynomial extension operators. Part III. Math. Comput. 81 (279) (2012)
Maciej Paszynski, David Pardo, Anna Paszynska, Leszek F. Demkowicz
Out-of-core multi-frontal solver for multi-physics hp adaptive problems. ICCS (2011)
Weifeng Qiu, Leszek F. Demkowicz
Mixed variable order h-finite element method for linear elasticity with weakly imposed symmetry. Curvilinear elements in 2D. Comput. Methods Appl. Math. 11 (4) (2011)
Weifeng Qiu, Leszek F. Demkowicz
Mixed hp-Finite Element Method for Linear Elasticity with Weakly Imposed Symmetry: Stability Analysis. SIAM J. Numer. Anal. 49 (2) (2011)
Daniele Boffi, Martin Costabel, Monique Dauge, Leszek F. Demkowicz, Ralf Hiptmair
Discrete Compactness for the p-Version of Discrete Differential Forms. SIAM J. Numer. Anal. 49 (1) (2011)
Leszek F. Demkowicz, Jayadeep Gopalakrishnan
Analysis of the DPG Method for the Poisson Equation. SIAM J. Numer. Anal. 49 (5) (2011)
J. Zitelli, Ignacio Muga, Leszek F. Demkowicz, Jayadeep Gopalakrishnan, David Pardo, Victor M. Calo
A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D. J. Comput. Phys. 230 (7) (2011)
Maciej Paszynski, David Pardo, Carlos Torres-Verdín, Leszek F. Demkowicz, Victor M. Calo
A parallel direct solver for the self-adaptive hp Finite Element Method. J. Parallel Distributed Comput. 70 (3) (2010)
Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl
Polynomial Extension Operators. Part II. SIAM J. Numer. Anal. 47 (5) (2009)
Martin Costabel, Monique Dauge, Leszek F. Demkowicz
, H(curl) and H(div)-spaces on a cube. Math. Comput. 77 (264) (2008)
David Pardo, Leszek F. Demkowicz, Carlos Torres-Verdín, C. Michler
PML Enhanced with a Self-Adaptive Goal-Oriented hp-Finite Element Method: Simulation of Through-Casing Borehole Resistivity Measurements. SIAM J. Sci. Comput. 30 (6) (2008)
Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl
Polynomial Extension Operators. Part I. SIAM J. Numer. Anal. 46 (6) (2008)
Chandrajit L. Bajaj, J. Tinsley Oden, Kenneth R. Diller, James C. Browne, John D. Hazle, Ivo Babuska, Jon Bass, L. Bidaut, Leszek F. Demkowicz, Andrew Elliott, Yusheng Feng, David Fuentes, Boseob Kwon, Serge Prudhomme, R. Jason Stafford, Yongjie Zhang
Using Cyber-Infrastructure for Dynamic Data Driven Laser Treatment of Cancer. International Conference on Computational Science (1) (2007)
Maciej Paszynski, Leszek F. Demkowicz
-adaptive 3D finite element package. Eng. Comput. 23 (3) (2007)
Dong Xue, Leszek F. Demkowicz, Ling Hao
A 3-D hp Finite/Infinite Element Method to Calculate Power Deposition in the Human Head. IEEE Trans. Biomed. Eng. 54 (4) (2007)
David Pardo, Carlos Torres-Verdín, Leszek F. Demkowicz
Simulation of multifrequency borehole resistivity measurements through metal casing using a goal-oriented hp finite-element method. IEEE Trans. Geosci. Remote. Sens. 44 (8) (2006)
Maciej Paszynski, Leszek F. Demkowicz
-adaptive 3D finite element package. Eng. Comput. 22 (3-4) (2006)
J. Tinsley Oden, Kenneth R. Diller, Chandrajit L. Bajaj, James C. Browne, John D. Hazle, Ivo Babuska, Jon Bass, Leszek F. Demkowicz, Yusheng Feng, David Fuentes, Serge Prudhomme, Marissa Nichole Rylander, R. Jason Stafford, Yongjie Zhang
Development of a Computational Paradigm for Laser Treatment of Cancer. International Conference on Computational Science (3) (2006)
David Pardo, Leszek F. Demkowicz, Carlos Torres-Verdín, Maciej Paszynski
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. 66 (6) (2006)
Maciej Paszynski, David Pardo, Leszek F. Demkowicz, Carlos Torres-Verdín
Parallel hp-Finite Element Simulations of 3D Resistivity Logging Instruments. ISPE CE (2006)
Daniele Boffi, Martin Costabel, Monique Dauge, Leszek F. Demkowicz
Discrete Compactness for the hp Version of Rectangular Edge Finite Elements. SIAM J. Numer. Anal. 44 (3) (2006)
Dong Xue, Leszek F. Demkowicz, Chandrajit L. Bajaj
Reconstruction of G 1 Surfaces With Biquartic Patches for HP Fe Simulations. IMR (2004)
Jayadeep Gopalakrishnan, Joseph E. Pasciak, Leszek F. Demkowicz
Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations. SIAM J. Numer. Anal. 42 (1) (2004)
J. Tinsley Oden, James C. Browne, Ivo Babuska, Chandrajit L. Bajaj, Leszek F. Demkowicz, L. Gray, Jon Bass, Yusheng Feng, Serge Prudhomme, Fabio Nobile, Raúl Tempone
A Dynamic Data Driven Computational Infrastructure for Reliable Computer Simulations. International Conference on Computational Science (2004)
Leszek F. Demkowicz, Ivo Babuska
Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions. SIAM J. Numer. Anal. 41 (4) (2003)
L. Vardapetyan, Leszek F. Demkowicz
Full-wave analysis of dielectric waveguides at a given frequency. Math. Comput. 72 (241) (2003)
J. Tinsley Oden, James C. Browne, Ivo Babuska, Kenneth M. Liechti, Leszek F. Demkowicz
A Computational Infrastructure for Reliable Computer Simulations. International Conference on Computational Science (2003)
Leszek F. Demkowicz, Waldemar Rachowicz, Ph. Devloo
-Adaptivity. J. Sci. Comput. 17 (1-4) (2002)
Leszek F. Demkowicz, Frank Ihlenburg
Analysis of a coupled finite-infinite element method for exterior Helmholtz problems. Numerische Mathematik 88 (1) (2001)
Peter Monk, Leszek F. Demkowicz
. Math. Comput. 70 (234) (2001)
Michael G. Edwards, J. Tinsley Oden, Leszek F. Demkowicz
-Adaptive Approximate Riemann Solver for the Euler Equations in Two Dimensions. SIAM J. Sci. Comput. 14 (1) (1993)