| 2023-09 |
A locking-free staggered DG method for the Biot system of poroelasticity on general polygonal meshes |
IMA Journal of Numerical Analysis
|
| 2023-01 |
Analysis of hybrid discontinuous Galerkin methods for linearized Navier-Stokes equations |
Numerical Methods for Partial Differential Equations
|
| 2022-12 |
A pressure robust staggered discontinuous Galerkin method for the Stokes equations |
Computers and Mathematics with Applications
|
| 2022-10 |
Error analysis for the pseudostress formulation of unsteady Stokes problem |
Numerical Algorithms
|
| 2022-07 |
A staggered cell-centered DG method for the biharmonic Steklov problem on polygonal meshes: A priori and a posteriori analysis |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 2022-07 |
A Staggered Discontinuous Galerkin Method for Quasi-Linear Second Order Elliptic Problems of Nonmonotone Type |
Computational Methods in Applied Mathematics
|
| 2022-03 |
Staggered DG Method with Small Edges for Darcy Flows in Fractured Porous Media |
JOURNAL OF SCIENTIFIC COMPUTING
|
| 2022-02 |
A novel hybrid difference method for an elliptic equation |
APPLIED MATHEMATICS AND COMPUTATION
|
| 2021-10 |
Novel Adaptive Hybrid Discontinuous Galerkin Algorithms for Elliptic Problems |
Computational Methods in Applied Mathematics
|
| 2021-09 |
REVIEW AND IMPLEMENTATION OF STAGGERED DG METHODS ON POLYGONAL MESHES |
Journal of the Korean Society for Industrial and Applied Mathematics
|
| 2021-09 |
Multiscale mortar mixed domain decomposition approximations of nonlinear parabolic equations |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 2021-03 |
Morley finite element methods for the stationary quasi-geostrophic equation |
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
|
| 2021-01 |
Staggered DG Method for Coupling of the Stokes and Darcy--Forchheimer Problems |
SIAM JOURNAL ON NUMERICAL ANALYSIS
|
| 2020-12 |
Staggered discontinuous Galerkin methods for the Helmholtz equation with large wave number |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 2020-10 |
A lowest-order staggered DG method for the coupled Stokes–Darcy problem |
IMA JOURNAL OF NUMERICAL ANALYSIS
|
| 2020-08 |
Staggered DG Methods for the Pseudostress-Velocity Formulation of the Stokes Equations on General Meshes |
SIAM JOURNAL ON SCIENTIFIC COMPUTING
|
| 2020-08 |
Convergence of Multi-level Algorithms for a Class of Nonlinear Problems |
JOURNAL OF SCIENTIFIC COMPUTING
|
| 2020-07 |
A STAGGERED CELL-CENTERED DG METHOD FOR LINEAR ELASTICITY ON POLYGONAL MESHES |
SIAM JOURNAL ON SCIENTIFIC COMPUTING
|
| 2020-06 |
A LOCAL CONSERVATIVE MULTISCALE METHOD FOR ELLIPTIC PROBLEMS WITH OSCILLATING COEFFICIENTS |
Journal of the Korean Society for Industrial and Applied Mathematics
|
| 2020-04 |
Multiscale mortar expanded mixed discretization of nonlinear elliptic problems |
APPLIED MATHEMATICS AND COMPUTATION
|
| 2020-02 |
A Nitsche-type variational formulation for the shape deformation of a single component vesicle |
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
|
| 2020-01 |
A New Hybrid Staggered Discontinuous Galerkin Method on General Meshes |
JOURNAL OF SCIENTIFIC COMPUTING
|
| 2019-03 |
A staggered DG method of minimal dimension for the Stokes equations on general meshes |
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
|
| 2019-01 |
A priori and a posteriori error analysis of a staggered discontinuous Galerkin method for convection dominant diffusion equations |
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
|
| 2018-12 |
A unified framework for two-grid methods for a class of nonlinear problems |
CALCOLO
|
| 2018-12 |
C-0 interior penalty methods for a dynamic nonlinear beam model |
APPLIED MATHEMATICS AND COMPUTATION
|
| 2018-08 |
A STAGGERED DISCONTINUOUS GALERKIN METHOD OF MINIMAL DIMENSION ON QUADRILATERAL AND POLYGONAL MESHES |
SIAM JOURNAL ON SCIENTIFIC COMPUTING
|
| 2018-06 |
Error estimates of B-spline based finite-element methods for the stationary quasi-geostrophic equations of the ocean |
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
|
| 2018-06 |
Fully computable bounds for a staggered discontinuous Galerkin method for the Stokes equations |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 2018-05 |
Guaranteed A Posteriori Error Estimates for a Staggered Discontinuous Galerkin Method |
JOURNAL OF SCIENTIFIC COMPUTING
|
| 2018-04 |
Optimal error estimates for the pseudostress formulation of the Navier?Stokes equations |
APPLIED MATHEMATICS LETTERS
|
| 2018-03 |
Space-Time Adaptive Methods for the Mixed Formulation of a Linear Parabolic Problem |
JOURNAL OF SCIENTIFIC COMPUTING
|
| 2018-01 |
Analysis of Multiscale Mortar Mixed Approximation of Nonlinear Elliptic Equations |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 2018-01 |
C-0- discontinuous Galerkin methods for a wind-driven ocean circulation model: Two-grid algorithm |
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
|
| 2017-08 |
Convergence of natural adaptive least squares finite element methods |
NUMERISCHE MATHEMATIK
|
| 2017-05 |
High-order discontinuous Galerkin methods with Lagrange multiplier for hyperbolic systems of conservation laws |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 2017-04 |
Hybrid Spectral Difference Methods for an Elliptic Equation |
Computational Methods in Applied Mathematics
|
| 2016-03 |
A C0-discontinuous Galerkin method for the stationary quasi-geostrophic equations of the ocean |
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
|
| 2016-02 |
Multigrid Optimization Methods for the Optimal Control of Convection-Diffusion Problems with Bilinear Control |
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS
|
| 2015-09 |
A hybrid discontinuous Galerkin method for advection diffusion reaction problems |
APPLIED NUMERICAL MATHEMATICS
|
| 2015-08 |
Asymptotically exact a posteriori error estimators for first-order div least-squares methods in local and global L2 norm |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 2015-07 |
dynamic frictionless contact of a nonlinear beam with two stops |
APPLICABLE ANALYSIS
|
| 2015-01 |
CONVERGENCE AND OPTIMALITY OF ADAPTIVE LEAST SQUARES FINITE ELEMENT METHODS |
SIAM JOURNAL ON NUMERICAL ANALYSIS
|
| 2014-12 |
Special Issue Advances in Computational Partial Differential Equations Preface |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 2014-12 |
A hybridized finite element method for the Stokes problem |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 2014-12 |
Domain decomposition preconditioning for elliptic problems with jumps in coefficients |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 2014-11 |
A Nonconforming Primal Mixed Finite Element Method for the Stokes Equations |
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
|
| 2014-03 |
Two-scale product approximation for semilinear parabolic problems in mixed methods |
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
|
| 2014-01 |
AN UPSTREAM PSEUDOSTRESS-VELOCITY MIXED FORMULATION FOR THE OSEEN EQUATIONS |
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
|
| 2013-07 |
SUPERCONVERGENT DISCONTINUOUS GALERKIN METHODS FOR NONLINEAR ELLIPTIC EQUATIONS |
MATHEMATICS OF COMPUTATION
|
| 2013-05 |
A flexible numerical approach for quantification of epistemic uncertainty |
JOURNAL OF COMPUTATIONAL PHYSICS
|
| 2013-01 |
New locally conservative finite element methods on a rectangular mesh |
NUMERISCHE MATHEMATIK
|
| 2012-08 |
NUMERICAL EXPERIMENTS FOR THE ARNOLD-WINTHER MIXED FINITE ELEMENTS FOR THE STOKES PROBLEM |
SIAM JOURNAL ON SCIENTIFIC COMPUTING
|
| 2011-12 |
A Priori and A Posteriori Pseudostress-velocity Mixed Finite Element Error Analysis for the Stokes Problem |
SIAM Jounal on Numerical Analysis
|
| 2010-11 |
A posteriori error estimators for the first-order least-squares finite element method |
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
|
| 2010-11 |
A hybrid discontinuous Galerkin method for elliptic problems |
SIAM Journal on Numerical Analysis
|
| 2010-09 |
Numerical Discretization of a Population Diffusion Equation |
Journal of the Korean Society for Industrial and Applied Mathematics
|
| 2010-08 |
A PRIORI AND A POSTERIORI ANALYSIS OF MIXED FINITE ELEMENT METHODS FOR NONLINEAR ELLIPTIC EQUATIONS |
SIAM Journal on Numerical Analysis
|
| 2009-12 |
Locally conservative multiscale methods for Darcy equations |
Oberwolfach Report
|
| 2008-11 |
Adaptive Crank-Nicolson methods with dynamic finite-element spaces for parabolic problems |
Discrete And Continuous Dynamical Systems-Series B
|
| 2008-06 |
Nonconforming cell boundary element methods for elliptic problems on triangular mesh |
Applied Numerical Mathematics
|
| 2008-01 |
A posteriori error estimators for the upstream weighting mixed methods for convection diffusion problems |
Computer Methods In Applied Mechanics And Engineering
|
| 2007-12 |
Cell boundary element methods for elliptic problems |
Hokkaido Mathematical Journal
|
| 2007-09 |
A multiscale mortar mixed finite element method for slightly compressible flows in porous media |
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
|
| 2007-01 |
A posteriori error estimator for expanded mixed hybrid methods |
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
|
| 2006-03 |
Primal mixed finite-element approximation of elliptic equations with gradient nonlinearities |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 2006-01 |
Cell boundary element methods for convection-diffusion equations |
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
|
| 2005-04 |
Electrical conductivity imaging using a variational method in Bz-based MREIT |
INVERSE PROBLEMS
|
| 2005-01 |
Electrical conductivity imaging using a variational method in B |
INVERSE PROBLEMS
|
| 2005-01 |
Mixed finite element methods for generalized forchheimer flow in porous media |
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
|
| 2005-01 |
A cell boundary element method for elliptic problems |
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
|
| 2004-01 |
Static conductivity imaging using variational gradient B-z algorithm in magnetic resonance electrical impedance tomography |
PHYSIOLOGICAL MEASUREMENT
|
| 2003-11 |
MIXED FINITE ELEMENT DOMAIN DECOPOSITION FORNONLINEAR PARABOLIC PROBLEMS |
COMPUT MATH APPL
|
| 2003-02 |
Stabilized mixed approximation of second order elliptic problems |
PROC. COM2MAC
|
| 2002-12 |
Splitting methods for the numerical approximationof some models of age-structured population dynamic |
APPLIED MATHEMATICS AND COMPUTATION
|
| 2002-12 |
SOME RECENT TOPICS IN NUMERICAL ANALYSIS-FINITEELEMENT METHODS TRENDS IN MATH. |
TRENDS IN MATH
|
| 2002-12 |
MIXED FINITE-ELEMENT SOLUTION OF REACTION-DIFFUSION EQUATIONS USING A TWO-GRID METHOD |
COMPUTATIONAL METHODS IN WATER RESOURCES
|
| 2002-12 |
Global boundedness of the solution to the Gurtin--MacCamy system |
NODEA NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
|
| 2002-12 |
FULLY DISCRETE MIXED FINITE ELEMENT APPROXIMATIONSFOR NON-DARCY FLOWS IN POROUS MEDIA, |
COMPUT MATH APPL
|
| 2002-11 |
CHARACTERISTIC FINITE ELEMENT METHODS FORDIFFUSIVE EPIDEMIC MEDELS WITH AGE-STRUCTUREDPOPLATIONS |
EUROPEAN JOURNAL OF INTERNATIONAL RELATIONS
|
| 2000-11 |
Mixed finite element domain decomposition for nonlinear parabolic problems |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 1999-12 |
Fully discrete mixed finite element approximations for non-Darcy flows in porous media |
COMPUTERS & MATHEMATICS WITH APPLICATIONS
|
| 1999-12 |
Asymptotic behavior for an SIS epidemic model and its approximation |
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
|
| 1998-10 |
Optimal harvesting for periodic age-dependent population dynamics |
SIAM JOURNAL ON APPLIED MATHEMATICS
|
| 1997-01 |
Characteristic Finite Element Methods for Diffusive Epidemic Models with Age-Structured Populations |
EUROPEAN JOURNAL OF INTERNATIONAL RELATIONS
|
| 1997-01 |
Splitting Methods for the Numerical Approximation of Some Models of age-Structured Population Dynamics and Epidemiology |
EUROPEAN JOURNAL OF INTERNATIONAL RELATIONS
|
| 1996-01 |
Mixed Methods for Nonlinear Second Order Eliptic Problems in Three Variables |
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
|
| 1996-01 |
Mixed Finite Element Methods for the Hamilton-Jacobi-Bellman Type Equations |
IMA J Numer Anal
|
| 1996-01 |
A Time Discretization for Mixed Approximation for Generalized Forchheimer Flow in Porous Media |
Z Angew Math Mech
|
| 1996-01 |
The p-Version of the Mixed Finite Element Method for Nonlinear Second Order Elliptic Problems |
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
|
| 1996-01 |
Some Observations on Mixed Methods for Fully Nonlinear Parabolic Problems in Divergence Form |
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
|
| 1995-01 |
Mixed Finite Element Methods for Nonlinear Second Order Elliptic Problems |
SIAM JOURNAL ON NUMERICAL ANALYSIS
|
| 1995-01 |
Mixed Approximation of a Population of a Population Diffusion Equation |
Comput Math Appl
|
| 1995-01 |
An Upwind Scheme for a Nonlinear Model in age Structured Population Dynamics |
Comput Math Appl
|
| 1995-01 |
A Primal Hybrid Finite Element Method for a Strongly Nonlinear Second Order Elliptic Problem |
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
|