Evaluation of Inner Products of Implicitly Defined Finite Element Functions on Multiply Connected Planar Mesh Cells.
SIAM J. Sci. Comput., February, 2024
A Canonical Gauge for Computing of Eigenpairs of the Magnetic Schrödinger Operator.
CoRR, 2024
Detecting eigenvectors of an operator that are near a specified subspace.
CoRR, 2024
An algorithm for identifying eigenvectors exhibiting strong spatial localization.
Math. Comput., November, 2022
Korn's Inequality and Eigenproblems for the Lamé Operator.
Comput. Methods Appl. Math., 2022
Quadrature for implicitly-defined finite element functions on curvilinear polygons.
Comput. Math. Appl., 2022
A Posteriori Error Estimates for Elliptic Eigenvalue Problems Using Auxiliary Subspace Techniques.
J. Sci. Comput., 2021
Trefftz Finite Elements on Curvilinear Polygons.
SIAM J. Sci. Comput., 2020
Spectral discretization errors in filtered subspace iteration.
Math. Comput., 2020
Analysis of FEAST Spectral Approximations Using the DPG Discretization.
Comput. Methods Appl. Math., 2019
A High-Order Method for Evaluating Derivatives of Harmonic Functions in Planar Domains.
SIAM J. Sci. Comput., 2018
A Nyström-based finite element method on polygonal elements.
Comput. Math. Appl., 2018
An a posteriori estimator of eigenvalue/eigenvector error for penalty-type discontinuous Galerkin methods.
Appl. Math. Comput., 2018
Some remarks on interpolation and best approximation.
Numerische Mathematik, 2017
A Posteriori Estimates Using Auxiliary Subspace Techniques.
J. Sci. Comput., 2017
The Laplacian and Mean and Extreme Values.
Am. Math. Mon., 2016
Robust error estimates for approximations of non-self-adjoint eigenvalue problems.
Numerische Mathematik, 2016
A posteriori error estimation of hierarchical type for the Schrödinger operator with inverse square potential.
Numerische Mathematik, 2014
Rapid error reduction for block Gauss-Seidel based on <i>p</i>-hierarchical basis.
Numer. Linear Algebra Appl., 2013
Error control for $$hp$$ -adaptive approximations of semi-definite eigenvalue problems.
Computing, 2013
On estimators for eigenvalue/eigenvector approximations.
Math. Comput., 2009
A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains.
Computing, 2009
Dual Functions for a Parallel Adaptive Method.
SIAM J. Sci. Comput., 2007
Function, Gradient, and Hessian Recovery Using Quadratic Edge-Bump Functions.
SIAM J. Numer. Anal., 2007
Hierarchical matrix techniques for a domain decomposition algorithm.
Computing, 2007
Asymptotically exact functional error estimators based on superconvergent gradient recovery.
Numerische Mathematik, 2006