| Publication | Date of Publication | Type |
|---|
| A Scalable Two-Level Domain Decomposition Eigensolver for Periodic Schr\"odinger Eigenstates in Anisotropically Expanding Domains | 2023-11-15 | Paper |
| Embedded corrector problems for homogenization in linear elasticity | 2023-07-07 | Paper |
| A multipoint perturbation formula for eigenvalue problems | 2023-05-14 | Paper |
| Numerical stability and efficiency of response property calculations in density functional theory | 2023-03-09 | Paper |
| On the scalability of the parallel Schwarz method in one-dimension | 2022-11-21 | Paper |
| Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators | 2022-10-18 | Paper |
| Numerical stability and efficiency of response property calculations in density functional theory | 2022-10-10 | Paper |
| A Quasi-Optimal Factorization Preconditioner for Periodic Schrödinger Eigenstates in Anisotropically Expanding Domains | 2022-09-22 | Paper |
| Boundary Integral Equations for Isotropic Linear Elasticity | 2022-08-15 | Paper |
| Post-processing of the planewave approximation of Schrödinger equations. Part I: linear operators | 2022-05-17 | Paper |
| A discontinuous Galerkin method for shock capturing using a mixed high-order and sub-grid low-order approximation space | 2022-05-10 | Paper |
| Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation | 2022-04-25 | Paper |
| An embedded corrector problem for homogenization. II: Algorithms and discretization | 2022-04-07 | Paper |
| Linear scaling computation of forces for the domain-decomposition linear Poisson--Boltzmann method | 2022-03-01 | Paper |
| The Feshbach-Schur map and perturbation theory | 2021-12-03 | Paper |
| A Linear Scaling in Accuracy Numerical Method for Computing the Electrostatic Forces in the $N$-Body Dielectric Spheres Problem | 2021-11-03 | Paper |
| A Quasi-Optimal Factorization Preconditioner for Periodic Schr\"odinger Eigenstates in Anisotropically Expanding Domains | 2021-10-28 | Paper |
| An integral equation formulation of the N-body dielectric spheres problem. Part I: numerical analysis | 2021-09-15 | Paper |
| An integral equation formulation of the N-body dielectric spheres problem. Part II: complexity analysis | 2021-09-15 | Paper |
| Multi-center decomposition of molecular densities: a mathematical perspective | 2021-09-07 | Paper |
| Continuity estimates for Riesz potentials on polygonal boundaries | 2021-07-22 | Paper |
| The Feshbach-Schur map and perturbation theory | 2021-05-05 | Paper |
| Analysis of the Schwarz Domain Decomposition Method for the Conductor-like Screening Continuum Model | 2021-03-19 | Paper |
| Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters | 2020-08-27 | Paper |
| An Embedded Corrector Problem for Homogenization. Part I: Theory | 2020-08-20 | Paper |
| On the scalability of the Schwarz method | 2020-06-03 | Paper |
| A boundary-partition-based Voronoi diagram of \(d\)-dimensional balls: definition, properties, and applications | 2020-05-11 | Paper |
| On the Scalability of the Parallel Schwarz Method in One-Dimension | 2019-12-23 | Paper |
| A Discontinuous Galerkin method for Shock Capturing using a mixed high-order and sub-grid low-order approximation space | 2019-11-04 | Paper |
| Model Order Reduction for Problems with Large Convection Effects | 2019-07-17 | Paper |
| A Posteriori Error Estimates for the Electric Field Integral Equation on Polyhedra | 2019-07-17 | Paper |
| An integral equation approach to calculate electrostatic interactions in many-body dielectric systems | 2019-06-26 | Paper |
| Gradient Flow Finite Element Discretizations with Energy-Based Adaptivity for the Gross-Pitaevskii Equation | 2019-06-17 | Paper |
| A Domain Decomposition Method for the Poisson--Boltzmann Solvation Models | 2019-04-25 | Paper |
| Boundary integral equations for isotropic linear elasticity | 2019-02-06 | Paper |
| Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework | 2018-10-31 | Paper |
| An embedded corrector problem for homogenization. Part II: Algorithms and discretization | 2018-10-23 | Paper |
| A domain decomposition method for the polarizable continuum model based on the solvent excluded surface | 2018-06-28 | Paper |
| A posteriorierror estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part II: Eigenvalue problems | 2018-01-10 | Paper |
| Guaranteed and Robust a Posteriori Bounds for Laplace Eigenvalues and Eigenvectors: Conforming Approximations | 2017-09-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268583 | 2017-06-20 | Paper |
| Mathematical analysis and calculation of molecular surfaces | 2016-12-20 | Paper |
| A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models | 2016-12-20 | Paper |
| A posteriorierror estimates for discontinuous Galerkin methods using non-polynomial basis functions Part I: Second order linear PDE | 2016-09-15 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3465261 | 2016-01-21 | Paper |
| An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation | 2015-09-16 | Paper |
| Certified Reduced Basis Methods for Parametrized Partial Differential Equations | 2015-09-08 | Paper |
| Comparison of Some Reduced Representation Approximations | 2015-04-14 | Paper |
| A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations | 2014-11-11 | Paper |
| Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods | 2014-05-02 | Paper |
| Locally Adaptive Greedy Approximations for Anisotropic Parameter Reduced Basis Spaces | 2014-03-28 | Paper |
| A reduced basis method for electromagnetic scattering by multiple particles in three dimensions | 2012-12-20 | Paper |
| Certified Reduced Basis Method for the Electric Field Integral Equation | 2012-08-30 | Paper |
| Parameter multi-domain ‘hp ’ empirical interpolation | 2012-07-02 | Paper |
| A posteriori estimates for the bubble stabilized discontinuous Galerkin method | 2011-07-08 | Paper |
| Bubble stabilized discontinuous Galerkin methods on conforming and non-conforming meshes | 2011-06-17 | Paper |
| Interior penalty continuous and discontinuous finite element approximations of hyperbolic equations | 2011-01-16 | Paper |
| ℎ𝑝-Optimal discontinuous Galerkin methods for linear elliptic problems | 2010-10-08 | Paper |
| Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems | 2010-09-10 | Paper |
| Low Order Discontinuous Galerkin Methods for Second Order Elliptic Problems | 2010-03-24 | Paper |
| BUBBLE STABILIZED DISCONTINUOUS GALERKIN METHOD FOR STOKES' PROBLEM | 2010-03-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3522678 | 2008-09-03 | Paper |
| Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment | 2008-02-26 | Paper |
| The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders \(p \geqslant 2\) | 2007-12-12 | Paper |
| Minimal stabilization for discontinuous Galerkin finite element methods for hyperbolic problems | 2007-12-06 | Paper |
