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Applied Functional Analysis

Third edition., 2018

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Construction of DPG Fortin operators for second order problems

Computers & mathematics with applications (1987), 2017-10, Vol.74 (8), p.1964-1980

2017

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An adaptive DPG method for high frequency time-harmonic wave propagation problems

Computers & mathematics with applications (1987), 2017-10, Vol.74 (8), p.1999-2017

2017

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Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides

Advances in computational mathematics, 2024-06, Vol.50 (3), Article 35

2024

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Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods

SIAM journal on numerical analysis, 2019-01, Vol.57 (4), p.1649-1676

2019

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Solution of coupled poroelastic/acoustic/elastic wave propagation problems using automatic hp-adaptivity

Computer methods in applied mechanics and engineering, 2014-11, Vol.281, p.54-80

2014

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Parametric finite elements, exact sequences and perfectly matched layers

Computational mechanics, 2013, Vol.51 (1), p.35-45

2013

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A DPG method for planar div-curl problems

Computers & mathematics with applications (1987), 2024-04, Vol.159, p.31-43

2024

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An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics

Computers & mathematics with applications (1987), 2021-04, Vol.87 (na), p.12-26

2021

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Construction of DPG Fortin operators revisited

Computers & mathematics with applications (1987), 2020-12, Vol.80 (11), p.2261-2271

2020

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An Lp-DPG method for the convection–diffusion problem

Computers & mathematics with applications (1987), 2021-08, Vol.95, p.172-185

2021

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Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems

SIAM journal on numerical analysis, 2024-08, Vol.62 (4), p.1956-1978

2024

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Discontinuous Petrov–Galerkin method with optimal test functions for thin-body problems in solid mechanics

Computer methods in applied mechanics and engineering, 2011-02, Vol.200 (9), p.1291-1300

2011

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Prof. Ivo Babuška

Computers & mathematics with applications (1987), 2017-11, Vol.74 (9), p.2045-2046

2017

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ROBUST DPG METHOD FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS

SIAM journal on numerical analysis, 2013-01, Vol.51 (5), p.2514-2537

2013

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An L p -DPG method for the convection–diffusion problem

Computers & mathematics with applications (1987), 2021-08, Vol.95, p.172-185

2021

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Constructively well-posed approximation methods with unity inf--sup and continuity constants for partial differential equations

Mathematics of computation, 2013-10, Vol.82 (284), p.1923-1952

2013

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An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations

Computers & mathematics with applications (1987), 2024-08, Vol.167, p.315-327

2024

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The DPG-star method

Computers & mathematics with applications (1987), 2020-06, Vol.79 (11), p.3092-3116

2020

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The DPG methodology applied to different variational formulations of linear elasticity

Computer methods in applied mechanics and engineering, 2016-09, Vol.309, p.579-609

2016

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Simulation of multifrequency borehole resistivity measurements through metal casing using a goal-oriented hp finite-element method

IEEE transactions on geoscience and remote sensing, 2006-08, Vol.44 (8), p.2125-2134

2006

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Stabilized finite element methods for a fully-implicit logarithmic reformulation of the Oldroyd-B constitutive law

Journal of non-Newtonian fluid mechanics, 2022-08, Vol.306, p.104838, Article 104838

2022

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Orientation embedded high order shape functions for the exact sequence elements of all shapes

Computers & mathematics with applications (1987), 2015-08, Vol.70 (4), p.353-458

2015

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Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers

Computers & mathematics with applications (1987), 2021-03, Vol.85, p.30-41

2021

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Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations

SIAM journal on numerical analysis, 2004-01, Vol.42 (1), p.90-108

2004

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Applied Functional Analysis

Construction of DPG Fortin operators for second order problems

An adaptive DPG method for high frequency time-harmonic wave propagation problems

Stability analysis for electromagnetic waveguides. Part 2: non-homogeneous waveguides

Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods

Solution of coupled poroelastic/acoustic/elastic wave propagation problems using automatic hp-adaptivity

Parametric finite elements, exact sequences and perfectly matched layers

A DPG method for planar div-curl problems

An adaptive multigrid solver for DPG methods with applications in linear acoustics and electromagnetics

Construction of DPG Fortin operators revisited

An Lp-DPG method for the convection–diffusion problem

Multistage Discontinuous Petrov–Galerkin Time-Marching Scheme for Nonlinear Problems

Discontinuous Petrov–Galerkin method with optimal test functions for thin-body problems in solid mechanics

Prof. Ivo Babuška

ROBUST DPG METHOD FOR CONVECTION-DOMINATED DIFFUSION PROBLEMS

An L p -DPG method for the convection–diffusion problem

Constructively well-posed approximation methods with unity inf--sup and continuity constants for partial differential equations

An anisotropic hp-adaptation framework for ultraweak discontinuous Petrov–Galerkin formulations

The DPG-star method

The DPG methodology applied to different variational formulations of linear elasticity

Simulation of multifrequency borehole resistivity measurements through metal casing using a goal-oriented hp finite-element method

Stabilized finite element methods for a fully-implicit logarithmic reformulation of the Oldroyd-B constitutive law

Orientation embedded high order shape functions for the exact sequence elements of all shapes

Model and computational advancements to full vectorial Maxwell model for studying fiber amplifiers

Analysis of a Multigrid Algorithm for Time Harmonic Maxwell Equations

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