| Publication | Date of Publication | Type |
|---|
| A deep learning method for computing eigenvalues of the fractional Schrödinger operator | 2024-04-03 | Paper |
| Error Estimate of Multiscale Finite Element Method for Periodic Media Revisited | 2024-03-06 | Paper |
| An asymptotic-preserving finite element method for a forth order singular perturbation problem with boundary layers | 2024-01-02 | Paper |
| Spectral Barron space and deep neural network approximation | 2023-09-01 | Paper |
| Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems | 2023-06-20 | Paper |
| A New Function Space from Barron Class and Application to Neural Network Approximation | 2023-02-23 | Paper |
| A Nitsche hybrid multiscale method with non-matching grids | 2022-06-20 | Paper |
| Deep Nitsche Method: Deep Ritz Method with Essential Boundary Conditions | 2021-11-03 | Paper |
| Analysis of Geometrically Consistent Schemes with Finite Range Interaction | 2021-10-26 | Paper |
| A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity | 2021-10-11 | Paper |
| \(H^2\)-Korn's inequality and the nonconforming elements for the strain gradient elastic model | 2021-09-01 | Paper |
| The Quadratic Specht Triangle | 2021-01-14 | Paper |
| An Efficient Online-Offline Method for Elliptic Homogenization Problems | 2020-07-19 | Paper |
| A Discontinuous Galerkin Method by Patch Reconstruction for Biharmonic Problem | 2020-01-22 | Paper |
| An arbitrary-order discontinuous Galerkin method with one unknown per element | 2019-07-26 | Paper |
| From atomistic model to the Peierls-Nabarro model with \({\gamma}\)-surface for dislocations | 2018-09-21 | Paper |
| A concurrent global-local numerical method for multiscale PDEs | 2018-09-04 | Paper |
| New Nonconforming Elements for Linear Strain Gradient Elastic Model | 2018-09-04 | Paper |
| Two robust nonconforming \(H^2\)-elements for linear strain gradient elasticity | 2017-11-08 | Paper |
| A Constrained Cauchy-Born Elasticity Accelerated Multigrid Method for Nanoindentation | 2017-10-27 | Paper |
| On the Effect of Ghost Force in the Quasicontinuum Method: Dynamic Problems in One Dimension | 2017-10-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5276390 | 2017-07-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268524 | 2017-06-20 | Paper |
| An Efficient Multigrid Method for Molecular Mechanics Modeling in Atomic Solids | 2017-06-07 | Paper |
| A Multiscale Finite Element Method for Oscillating Neumann Problem on Rough Domain | 2016-12-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3463474 | 2016-01-14 | Paper |
| A Study on the Quasi-continuum Approximations of a One-Dimensional Fracture Model | 2015-05-21 | Paper |
| The effect of ghost forces for a quasicontinuum method in three dimension | 2014-12-02 | Paper |
| Stability Of A Force-Based Hybrid Method With Planar Sharp Interface | 2014-11-04 | Paper |
| Ghost Force Influence of a Quasicontinuum Method in Two Dimension | 2013-11-19 | Paper |
| Convergence of a Force-Based Hybrid Method in Three Dimensions | 2013-01-17 | Paper |
| An Efficient High Order Heterogeneous Multiscale Method for Elliptic Problems | 2012-08-30 | Paper |
| Convergence of the Heterogeneous Multiscale Finite Element Method for Elliptic Problems with Nonsmooth Microstructures | 2011-03-22 | Paper |
| Convergence of a force-based hybrid method for atomistic and continuum models in three dimension | 2011-02-12 | Paper |
| Heterogeneous multiscale finite element method with novel numerical integration schemes | 2011-01-31 | Paper |
| Shear Locking in a Plane Elasticity Problem and the Enhanced Assumed Strain Method | 2011-01-24 | Paper |
| Analysis of a One-Dimensional Nonlocal Quasi-Continuum Method | 2009-12-21 | Paper |
| A new superconvergence property of nonconforming rotated \(Q_1\) element in 3D | 2009-09-01 | Paper |
| Error estimate of force-based quasicontinuum method | 2009-04-14 | Paper |
| Cascadic multigrid methods for parabolic problems | 2009-01-26 | Paper |
| Cauchy-Born rule and the stability of crystalline solids: dynamic problems | 2008-03-31 | Paper |
| Cauchy-Born rule and the stability of crystalline solids: Static problems | 2007-02-14 | Paper |
| Analysis of the heterogeneous multiscale method for parabolic homogenization problems | 2007-02-02 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5482707 | 2006-08-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5479946 | 2006-07-25 | Paper |
| Analysis of some low order quadrilateral Reissner-Mindlin plate elements | 2006-05-29 | Paper |
| Numerical methods for multiscale elliptic problems | 2006-04-28 | Paper |
| TWO NONCONFORMING QUADRILATERAL ELEMENTS FOR THE REISSNER–MINDLIN PLATE | 2005-12-09 | Paper |
| Analysis of the heterogeneous multiscale method for elliptic homogenization problems | 2005-01-04 | Paper |
| A finite element method for nearly incompressible elasticity problems | 2004-10-07 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4463086 | 2004-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4461058 | 2004-03-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4461059 | 2004-03-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4451218 | 2004-02-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4709670 | 2003-10-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4795626 | 2003-09-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4801489 | 2003-06-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2708329 | 2003-06-19 | Paper |
| Quadrilateral mesh revisited. | 2003-05-06 | Paper |
| NONCONFORMING ROTATED ${\mathcal Q}_1$ ELEMENT FOR REISSNER–MINDLIN PLATE | 2003-03-16 | Paper |
| Quadrilateral mesh | 2003-02-11 | Paper |
| Optimal \(\mathcal{L}^2\) error bounds for MITC3 type element | 2002-05-30 | Paper |
| Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent Problem | 2002-03-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4792241 | 2000-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3123041 | 1997-07-06 | Paper |
