| Publication | Date of Publication | Type |
|---|
| High-Order Mass- and Energy-Conserving Methods for the Nonlinear Schrödinger Equation | 2024-03-19 | Paper |
| New Artificial Tangential Motions for Parametric Finite Element Approximation of Surface Evolution | 2024-03-12 | Paper |
| Numerical approximation of discontinuous solutions of the semilinear wave equation | 2023-12-16 | Paper |
| An Exponential Spectral Method Using VP Means for Semilinear Subdiffusion Equations with Rough Data | 2023-10-25 | Paper |
| Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra | 2023-10-23 | Paper |
| Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems | 2023-08-14 | Paper |
| Convergence of Renormalized Finite Element Methods for Heat Flow of Harmonic Maps | 2023-07-20 | Paper |
| High-order splitting finite element methods for the subdiffusion equation with limited smoothing property | 2023-07-14 | Paper |
| Erratum: Convergence of Dziuk’s Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-Order Finite Elements | 2023-06-29 | Paper |
| Optimal $L^2$ error analysis of a loosely coupled finite element scheme for thin-structure interactions | 2023-06-08 | Paper |
| A New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex Domains | 2023-05-26 | Paper |
| A second-order low-regularity correction of Lie splitting for the semilinear Klein–Gordon equation | 2023-05-25 | Paper |
| Improved error estimates for a modified exponential Euler method for the semilinear stochastic heat equation with rough initial data | 2023-05-08 | Paper |
| Optimal convergence of arbitrary Lagrangian–Eulerian iso-parametric finite element methods for parabolic equations in an evolving domain | 2023-03-01 | Paper |
| Analysis of fully discrete finite element methods for 2D Navier–Stokes equations with critical initial data | 2022-12-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5038032 | 2022-09-29 | Paper |
| A Semi-implicit Exponential Low-Regularity Integrator for the Navier--Stokes Equations | 2022-09-06 | Paper |
| Evolving finite element methods with an artificial tangential velocity for mean curvature flow and Willmore flow | 2022-08-31 | Paper |
| Optimal analysis of finite element methods for the stochastic Stokes equations | 2022-06-28 | Paper |
| An unfiltered low-regularity integrator for the KdV equation with solutions below ${\bf H^1}$ | 2022-06-18 | Paper |
| Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh | 2022-06-15 | Paper |
| High-Order Fully Discrete Energy Diminishing Evolving Surface Finite Element Methods for a Class of Geometric Curvature Flows | 2022-06-10 | Paper |
| Linearization of the finite element method for gradient flows by Newton’s method | 2022-05-17 | Paper |
| An energy diminishing arbitrary Lagrangian-Eulerian finite element method for two-phase Navier-Stokes flow | 2022-05-11 | Paper |
| Maximal regularity of multistep fully discrete finite element methods for parabolic equations | 2022-05-10 | Paper |
| A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere | 2022-05-09 | Paper |
| Exponential Convolution Quadrature for Nonlinear Subdiffusion Equations with Nonsmooth Initial Data | 2022-03-25 | Paper |
| A convergent post-processed discontinuous Galerkin method for incompressible flow with variable density | 2022-03-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5862335 | 2022-03-09 | Paper |
| Error estimates for fully discrete BDF finite element approximations of the Allen–Cahn equation | 2022-01-27 | Paper |
| A Convergent evolving finite element algorithm for Willmore flow of closed surfaces | 2022-01-19 | Paper |
| Some endpoint estimates for heat equation with application to Navier-Stokes equations | 2021-12-17 | Paper |
| Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions | 2021-09-15 | Paper |
| Second-order convergence of the linearly extrapolated Crank-Nicolson method for the Navier-Stokes equations with \(H^1\) initial data | 2021-09-01 | Paper |
| Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order | 2021-08-13 | Paper |
| High-order Mass- and Energy-conserving SAV-Gauss Collocation Finite Element Methods for the Nonlinear Schrödinger Equation | 2021-06-18 | Paper |
| Convergence of Dziuk's Semidiscrete Finite Element Method for Mean Curvature Flow of Closed Surfaces with High-order Finite Elements | 2021-06-18 | Paper |
| A high-order exponential integrator for nonlinear parabolic equations with nonsmooth initial data | 2021-03-31 | Paper |
| Pointwise-in-time error estimates for an optimal control problem with subdiffusion constraint | 2021-03-31 | Paper |
| A bounded numerical solution with a small mesh size implies existence of a smooth solution to the Navier-Stokes equations | 2021-03-03 | Paper |
| A convergent algorithm for forced mean curvature flow driven by diffusion on the surface | 2021-02-09 | Paper |
| A perimeter-decreasing and area-conserving algorithm for surface diffusion flow of curves | 2021-01-30 | Paper |
| Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations | 2021-01-29 | Paper |
| Convergence of a Second-order Energy-decaying Method for the Viscous Rotating Shallow Water Equation | 2021-01-28 | Paper |
| Weak discrete maximum principle of finite element methods in convex polyhedra | 2020-10-31 | Paper |
| A Second-Order Stabilization Method for Linearizing and Decoupling Nonlinear Parabolic Systems | 2020-10-14 | Paper |
| Convergence of Dziuk's Linearly Implicit Parametric Finite Element Method for Curve Shortening Flow | 2020-09-17 | Paper |
| Subdiffusion with time-dependent coefficients: improved regularity and second-order time stepping | 2020-08-25 | Paper |
| A Convergent Linearized Lagrange Finite Element Method for the Magneto-hydrodynamic Equations in Two-Dimensional Nonsmooth and Nonconvex Domains | 2020-01-28 | Paper |
| Energy-Decaying Extrapolated RK--SAV Methods for the Allen--Cahn and Cahn--Hilliard Equations | 2019-12-09 | Paper |
| A convergent evolving finite element algorithm for mean curvature flow of closed surfaces | 2019-11-07 | Paper |
| Subdiffusion with a time-dependent coefficient: Analysis and numerical solution | 2019-06-14 | Paper |
| Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise | 2019-03-22 | Paper |
| Analysis of fully discrete FEM for miscible displacement in porous media with Bear-Scheidegger diffusion tensor | 2019-03-18 | Paper |
| Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise | 2019-03-18 | Paper |
| Electromagnetic scattering from a cavity embedded in an impedance ground plane | 2019-01-24 | Paper |
| Stability and Error Analysis for a Second-Order Fast Approximation of the One-dimensional Schrödinger Equation Under Absorbing Boundary Conditions | 2018-12-19 | Paper |
| Time Discretization of a Tempered Fractional Feynman--Kac Equation with Measure Data | 2018-12-05 | Paper |
| Maximum norm analysis of implicit–explicit backward difference formulae for nonlinear parabolic equations | 2018-11-23 | Paper |
| An analysis of the Crank–Nicolson method for subdiffusion | 2018-11-23 | Paper |
| Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity | 2018-09-27 | Paper |
| Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra | 2018-09-20 | Paper |
| Analysis of fully discrete FEM for miscible displacement in porous media with Bear--Scheidegger diffusion tensor | 2018-09-10 | Paper |
| Boundary Problems for the Fractional and Tempered Fractional Operators | 2018-05-29 | Paper |
| An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions | 2018-04-23 | Paper |
| Convergence of a decoupled mixed FEM for the dynamic Ginzburg-Landau equations in nonsmooth domains with incompatible initial data | 2018-02-15 | Paper |
| On Stokes--Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes--Darcy Model | 2018-02-14 | Paper |
| Discrete maximal regularity of time-stepping schemes for fractional evolution equations | 2018-01-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4602017 | 2018-01-25 | Paper |
| Numerical Analysis of Nonlinear Subdiffusion Equations | 2018-01-17 | Paper |
| Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations | 2018-01-05 | Paper |
| Convergence of finite elements on an evolving surface driven by diffusion on the surface | 2017-11-08 | Paper |
| The Stability and Convergence of Fully Discrete Galerkin-Galerkin FEMs for Porous Medium Flows | 2017-10-27 | Paper |
| A new multigrid method for unconstrained parabolic optimal control problems | 2017-08-01 | Paper |
| Maximum-norm stability of the finite element Ritz projection under mixed boundary conditions | 2017-06-28 | Paper |
| Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon | 2017-06-09 | Paper |
| Global well-posedness of the time-dependent Ginzburg-Landau superconductivity model in curved polyhedra | 2017-03-28 | Paper |
| Combining maximal regularity and energy estimates for time discretizations of quasilinear parabolic equations | 2017-03-27 | Paper |
| Mathematical and numerical analysis of the time-dependent Ginzburg–Landau equations in nonconvex polygons based on Hodge decomposition | 2017-03-27 | Paper |
| Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations | 2017-03-10 | Paper |
| Maximal $L^p$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra | 2017-03-09 | Paper |
| A-Stable Time Discretizations Preserve Maximal Parabolic Regularity | 2017-01-12 | Paper |
| A numerical study on the stability of a class of Helmholtz problems | 2016-12-20 | Paper |
| A new approach for numerical simulation of the time-dependent Ginzburg-Landau equations | 2016-12-05 | Paper |
| UNIFORM BMO ESTIMATE OF PARABOLIC EQUATIONS AND GLOBAL WELL-POSEDNESS OF THE THERMISTOR PROBLEM | 2016-01-25 | Paper |
| A Fast and Stable Preconditioned Iterative Method for Optimal Control Problem of Wave Equations | 2015-11-12 | Paper |
| Maximum-norm stability and maximal \(L^p\) regularity of FEMs for parabolic equations with Lipschitz continuous coefficients | 2015-10-02 | Paper |
| Regularity of the Diffusion-Dispersion Tensor and Error Analysis of Galerkin FEMs for a Porous Medium Flow | 2015-06-17 | Paper |
| Optimal Error Estimates of Linearized Crank-Nicolson Galerkin FEMs for the Time-Dependent Ginzburg--Landau Equations in Superconductivity | 2015-06-09 | Paper |
| Linearized FE Approximations to a Nonlinear Gradient Flow | 2015-04-08 | Paper |
| Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations | 2014-07-31 | Paper |
| Convergence of a decoupled mixed FEM for miscible displacement in interfacial porous media | 2014-06-10 | Paper |
| A singular integral approach to the maximal L^p regularity of parabolic equations | 2014-01-08 | Paper |
| Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations | 2013-12-02 | Paper |
| Unconditional Convergence and Optimal Error Estimates of a Galerkin-Mixed FEM for Incompressible Miscible Flow in Porous Media | 2013-10-24 | Paper |
| Error Estimates of Splitting Galerkin Methods for Heat and Sweat Transport in Textile Materials | 2013-05-06 | Paper |
| Unconditionally optimal error analysis of fully discrete Galerkin methods for general nonlinear parabolic equations | 2013-03-26 | Paper |
| Numerical analysis of heat and moisture transport with a finite difference method | 2013-01-21 | Paper |
| Global Weak Solution for a Heat and Sweat Transport System in Three-Dimensional Fibrous Porous Media with Condensation/Evaporation and Absorption | 2012-08-22 | Paper |
| Heat and sweat transport through clothing assemblies with phase changes, condensation/evaporation and absorption | 2012-07-31 | Paper |
| Heat–sweat flow in three-dimensional porous textile media | 2012-03-06 | Paper |
| Global Existence of Weak Solution for Nonisothermal Multicomponent Flow in Porous Textile Media | 2011-08-08 | Paper |
| Direct numerical simulation of turbulent heat transfer in a wall-normal rotating channel flow | 2011-03-31 | Paper |
| Newton-Cotes rules for Hadamard finite-part integrals on an interval | 2010-11-19 | Paper |
| Global existence of weak solution to the heat and moisture transport system in fibrous porous media | 2010-10-28 | Paper |
| Direct numerical simulation of wall-normal rotating turbulent channel flow with heat transfer | 2010-06-30 | Paper |
| DIRECT NUMERICAL SIMULATION OF TURBULENT FLOWS IN A VERTICAL ROTATING OPEN-CHANNEL | 2006-05-10 | Paper |
