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ORCIDLeszek F. Demkowicz
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- affiliation: University of Texas at Austin, USA
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2020 – today
- 2024
[j69]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): 35 (2024)- [j68]Jiaqi Li, Leszek F. Demkowicz:
A DPG method for planar div-curl problems. Comput. Math. Appl. 159: 31-43 (2024) - [j67]Ankit Chakraborty, Stefan Henneking, Leszek F. Demkowicz:
An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov-Galerkin formulations. Comput. Math. Appl. 167: 315-327 (2024) - [j66]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): 5946 (2024) - [j65]Judit Muñoz-Matute, Leszek F. Demkowicz:
Multistage Discontinuous Petrov-Galerkin Time-Marching Scheme for Nonlinear Problems. SIAM J. Numer. Anal. 62(4): 1956-1978 (2024) - 2023
- [j64]Jacob C. Badger, Stefan Henneking, Socratis Petrides, Leszek F. Demkowicz:
Scalable DPG multigrid solver for Helmholtz problems: A study on convergence. Comput. Math. Appl. 148: 81-92 (2023) - [j63]Leszek F. Demkowicz, Nathan V. Roberts, Judit Muñoz-Matute:
The DPG Method for the Convection-Reaction Problem, Revisited. Comput. Methods Appl. Math. 23(1): 93-125 (2023) - [i12]Jacob C. Badger, Stefan Henneking, Socratis Petrides, Leszek F. Demkowicz:
Scalable DPG Multigrid Solver for Helmholtz Problems: A Study on Convergence. CoRR abs/2304.01728 (2023) - [i11]Jens Markus Melenk, Leszek F. Demkowicz, Stefan Henneking:
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides. CoRR abs/2307.04521 (2023) - [i10]Judit Muñoz-Matute, Leszek F. Demkowicz:
Multistage DPG time-marching scheme for nonlinear problems. CoRR abs/2309.00069 (2023) - [i9]Ankit Chakraborty, Stefan Henneking, Leszek F. Demkowicz:
An Anisotropic hp-Adaptation Framework for Ultraweak Discontinuous Petrov-Galerkin Formulations. CoRR abs/2309.00726 (2023) - 2022
- [j62]Jiaqi Li, Leszek F. Demkowicz:
An L𝓅-DPG Method with Application to 2D Convection-Diffusion Problems. Comput. Methods Appl. Math. 22(3): 649-662 (2022) - [j61]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: 110919 (2022) - [c9]Kamil Doleglo, Maciej Paszynski, Leszek F. Demkowicz:
Deep Neural Networks and Smooth Approximation of PDEs. ICCS (1) 2022: 328-332 - [i8]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 abs/2201.00904 (2022) - [i7]Stefan Henneking, Leszek F. Demkowicz:
hp3D User Manual. CoRR abs/2207.12211 (2022) - 2021
- [j60]Stefan Henneking, Jacob Grosek, Leszek F. Demkowicz:
Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers. Comput. Math. Appl. 85: 30-41 (2021) - [j59]Socratis Petrides, Leszek F. Demkowicz:
An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics. Comput. Math. Appl. 87: 12-26 (2021) - [j58]Fleurianne Bertrand, Leszek F. Demkowicz, Jay Gopalakrishnan:
Recent Advances in Least-Squares and Discontinuous Petrov-Galerkin Finite Element Methods. Comput. Math. Appl. 95: 1-3 (2021) - [j57]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: 41-66 (2021) - [j56]Stefan Henneking, Leszek F. Demkowicz:
A numerical study of the pollution error and DPG adaptivity for long waveguide simulations. Comput. Math. Appl. 95: 85-100 (2021) - [j55]Jiaqi Li, Leszek F. Demkowicz:
An Lp-DPG method for the convection-diffusion problem. Comput. Math. Appl. 95: 172-185 (2021) - [j54]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: 215-241 (2021) - [j53]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: 110016 (2021) - [c8]Maciej Paszynski, Rafal Wojciech Grzeszczuk, David Pardo, Leszek F. Demkowicz:
Deep Learning Driven Self-adaptive Hp Finite Element Method. ICCS (1) 2021: 114-121 - [i6]Yu Leng, Xiaochuan Tian, Leszek F. Demkowicz, Hector Gomez, John T. Foster:
A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems. CoRR abs/2107.07080 (2021) - [i5]Stefan Wittschieber, Leszek F. Demkowicz, Marek Behr:
Stabilized finite element methods for a fully-implicit logarithmic reformulation of the Oldroyd-B constitutive law. CoRR abs/2112.06829 (2021) - 2020
- [j52]Leszek F. Demkowicz, Jay Gopalakrishnan, Brendan Keith:
The DPG-star method. Comput. Math. Appl. 79(11): 3092-3116 (2020) - [j51]Leszek F. Demkowicz, Pietro Zanotti:
Construction of DPG Fortin operators revisited. Comput. Math. Appl. 80(11): 2261-2271 (2020) - [i4]Socratis Petrides, Leszek F. Demkowicz:
An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics. CoRR abs/2010.06793 (2020)
2010 – 2019
- 2019
- [j50]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): 395-397 (2019) - [j49]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): 523-555 (2019) - [j48]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): 603-630 (2019) - [j47]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: 100002 (2019) - [j46]Brendan Keith, Ali Vaziri Astaneh, Leszek F. Demkowicz:
Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov-Galerkin Methods. SIAM J. Numer. Anal. 57(4): 1649-1676 (2019) - [i3]Stefan Henneking, Jacob Grosek, Leszek F. Demkowicz:
A DPG Maxwell approach for studying nonlinear thermal effects in active gain fiber amplifiers. CoRR abs/1912.01185 (2019) - [i2]Stefan Henneking, Leszek F. Demkowicz:
A numerical study of the pollution error and DPG adaptivity for long waveguide simulations. CoRR abs/1912.05716 (2019) - 2017
- [j45]Marc I. Gerritsma, Carsten Carstensen, Leszek F. Demkowicz, Jay Gopalakrishnan:
Minimum Residual and Least Squares Finite Element Methods II. Comput. Math. Appl. 74(8): 1922 (2017) - [j44]Sriram Nagaraj, Socratis Petrides, Leszek F. Demkowicz:
Construction of DPG Fortin operators for second order problems. Comput. Math. Appl. 74(8): 1964-1980 (2017) - [j43]Socratis Petrides, Leszek F. Demkowicz:
An adaptive DPG method for high frequency time-harmonic wave propagation problems. Comput. Math. Appl. 74(8): 1999-2017 (2017) - [j42]Leszek F. Demkowicz, Rick Falk, Benqi Guo, Michael Vogelius, Zhimin Zhang:
Prof. Ivo Babuška. Comput. Math. Appl. 74(9): 2045-2046 (2017) - [j41]Federico Fuentes, Brendan Keith, Leszek F. Demkowicz, Patrick Le Tallec:
Coupled variational formulations of linear elasticity and the DPG methodology. J. Comput. Phys. 348: 715-731 (2017) - [j40]Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Sriram Nagaraj, Paulina Sepúlveda:
A Spacetime DPG Method for the Schrödinger Equation. SIAM J. Numer. Anal. 55(4): 1740-1759 (2017) - [i1]Brendan Keith, Ali Vaziri Astaneh, Leszek F. Demkowicz:
Goal-oriented adaptive mesh refinement for non-symmetric functional settings. CoRR abs/1711.01996 (2017) - 2016
- [j39]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): 494-522 (2016) - 2015
- [j38]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): 353-458 (2015) - [j37]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: 456-483 (2015) - [j36]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: 163-174 (2015) - 2014
- [j35]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): 771-795 (2014) - [j34]Nathan V. Roberts, Tan Bui-Thanh, Leszek F. Demkowicz:
The DPG method for the Stokes problem. Comput. Math. Appl. 67(4): 966-995 (2014) - [j33]Pavel B. Bochev, Leszek F. Demkowicz, Jay Gopalakrishnan, Max D. Gunzburger:
Minimum Residual and Least Squares Finite Element Methods. Comput. Math. Appl. 68(11): 1479 (2014) - [j32]Truman Ellis, Leszek F. Demkowicz, Jesse Chan:
Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems. Comput. Math. Appl. 68(11): 1530-1549 (2014) - [j31]Carsten Carstensen, Leszek F. Demkowicz, Jayadeep Gopalakrishnan:
A Posteriori Error Control for DPG Methods. SIAM J. Numer. Anal. 52(3): 1335-1353 (2014) - 2013
- [j30]Leszek F. Demkowicz, Jayadeep Gopalakrishnan:
A primal DPG method without a first-order reformulation. Comput. Math. Appl. 66(6): 1058-1064 (2013) - [j29]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): 1923-1952 (2013) - [j28]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): 1933-1958 (2013) - [j27]Leszek F. Demkowicz, Norbert Heuer:
Robust DPG Method for Convection-Dominated Diffusion Problems. SIAM J. Numer. Anal. 51(5): 2514-2537 (2013) - 2012
- [j26]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): 123-134 (2012) - [j25]Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl:
Polynomial extension operators. Part III. Math. Comput. 81(279): 1289-1326 (2012) - [j24]Jamie Bramwell, Leszek F. Demkowicz, Jay Gopalakrishnan, Weifeng Qiu:
A locking-free hp DPG method for linear elasticity with symmetric stresses. Numerische Mathematik 122(4): 671-707 (2012) - 2011
- [j23]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): 510-539 (2011) - [j22]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): 2406-2432 (2011) - [j21]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): 135-158 (2011) - [j20]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): 619-641 (2011) - [j19]Leszek F. Demkowicz, Jayadeep Gopalakrishnan:
Analysis of the DPG Method for the Poisson Equation. SIAM J. Numer. Anal. 49(5): 1788-1809 (2011) - [c7]Maciej Paszynski, David Pardo, Anna Paszynska, Leszek F. Demkowicz:
Out-of-core multi-frontal solver for multi-physics hp adaptive problems. ICCS 2011: 1788-1797 - 2010
- [j18]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): 270-281 (2010)
2000 – 2009
- 2009
- [j17]Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl:
Polynomial Extension Operators. Part II. SIAM J. Numer. Anal. 47(5): 3293-3324 (2009) - 2008
- [j16]Martin Costabel, Monique Dauge, Leszek F. Demkowicz:
Polynomial extension operators for H1, H(curl) and H(div)-spaces on a cube. Math. Comput. 77(264): 1967-1999 (2008) - [j15]Leszek F. Demkowicz, Jayadeep Gopalakrishnan, Joachim Schöberl:
Polynomial Extension Operators. Part I. SIAM J. Numer. Anal. 46(6): 3006-3031 (2008) - [j14]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): 2948-2964 (2008) - 2007
- [j13]Maciej Paszynski, Leszek F. Demkowicz:
Parallel, fully automatic hp-adaptive 3D finite element package. Eng. Comput. 23(3): 241 (2007) - [j12]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): 734-741 (2007) - [c6]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: 972-979 - 2006
- [j11]Maciej Paszynski, Leszek F. Demkowicz:
Parallel, fully automatic hp-adaptive 3D finite element package. Eng. Comput. 22(3-4): 255-276 (2006) - [j10]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): 2085-2106 (2006) - [j9]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): 979-1004 (2006) - [j8]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): 2125-2134 (2006) - [c5]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: 530-537 - [c4]Maciej Paszynski, David Pardo, Leszek F. Demkowicz, Carlos Torres-Verdín:
Parallel hp-Finite Element Simulations of 3D Resistivity Logging Instruments. CE 2006: 635-642 - 2004
- [j7]Jayadeep Gopalakrishnan, Joseph E. Pasciak, Leszek F. Demkowicz:
Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations. SIAM J. Numer. Anal. 42(1): 90-108 (2004) - [c3]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: 756-763 - [c2]Dong Xue, Leszek F. Demkowicz, Chandrajit L. Bajaj:
Reconstruction of G 1 Surfaces With Biquartic Patches for HP Fe Simulations. IMR 2004: 323-332 - 2003
- [j6]L. Vardapetyan, Leszek F. Demkowicz:
Full-wave analysis of dielectric waveguides at a given frequency. Math. Comput. 72(241): 105-129 (2003) - [j5]Leszek F. Demkowicz, Ivo Babuska:
p Interpolation Error Estimates for Edge Finite Elements of Variable Order in Two Dimensions. SIAM J. Numer. Anal. 41(4): 1195-1208 (2003) - [c1]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: 385-392 - 2002
- [j4]Leszek F. Demkowicz, Waldemar Rachowicz, Ph. Devloo:
A Fully Automatic hp-Adaptivity. J. Sci. Comput. 17(1-4): 117-142 (2002) - 2001
- [j3]Peter Monk, Leszek F. Demkowicz:
Discrete compactness and the approximation of Maxwell's equations in R3. Math. Comput. 70(234): 507-523 (2001) - [j2]Leszek F. Demkowicz, Frank Ihlenburg:
Analysis of a coupled finite-infinite element method for exterior Helmholtz problems. Numerische Mathematik 88(1): 43-73 (2001)
1990 – 1999
- 1993
- [j1]Michael G. Edwards, J. Tinsley Oden, Leszek F. Demkowicz:
An h-r-Adaptive Approximate Riemann Solver for the Euler Equations in Two Dimensions. SIAM J. Sci. Comput. 14(1): 185-217 (1993)
Coauthor Index
Jayadeep Gopalakrishnan
aka: Jay Gopalakrishnan
aka: Jay Gopalakrishnan
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