Area of research
Computational Mechanics · Computational Theory and Mathematics
Research interest
Research interests include Advanced Numerical Methods in Computational Mathematics, Electromagnetic Simulation and Numerical Methods, Advanced Mathematical Modeling in Engineering, and Matrix Theory and Algorithms.
Improving Yee’s scheme with asymptotic dispersion correction for time-harmonic Maxwell’s equations
A Gentle Introduction to Interpolation on the Grassmann Manifold
Landmarks in the History of Iterative Methods
Analysis of the spectral harmonically enriched multiscale coarse space (SHEM) in 2D
Optimized Schwarz Methods for Biharmonic Equations
Erratum: Spectral Analysis of Implicit \(\boldsymbol{s}\)-Stage Block Runge–Kutta Preconditioners
Intersection of Tetrahedra
Corrigendum: Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle
On the Relationship Between the Pole Condition, Absorbing Boundary Conditions, and Perfectly Matched Layers
A New ParaDiag Time-Parallel Time Integration Method
Asymptotic Dispersion Correction in General Finite Difference Schemes for Helmholtz Problems
Optimized Schwarz Waveform Relaxation Methods for the Telegrapher Equation
Spectral Analysis of Implicit \(\boldsymbol{S}\)-Stage Block Runge–Kutta Preconditioners
Analysis of Schwarz Methods for Convected Helmholtz-Like Equations
Optimization of two-level methods for DG discretizations of reaction-diffusion equations
New Time Domain Decomposition Methods for Parabolic Optimal Control Problems I: Dirichlet–Neumann and Neumann–Dirichlet Algorithms
New Time Domain Decomposition Methods for Parabolic Optimal Control Problems II: Neumann–Neumann Algorithms
A Unified Analysis Framework for Iterative Parallel-in-Time Algorithms
Non-Overlapping Schwarz Waveform-Relaxation for Nonlinear Advection-Diffusion Equations
Symmetrized non-decomposable approximations of the non-additive kinetic energy functional.
Closed Form Optimized Transmission Conditions for Complex Diffusion with Many Subdomains
Cross-points in the Dirichlet-Neumann method I: well-posedness and convergence issues.
Low-rank Parareal: a low-rank parallel-in-time integrator.
A non-decomposable approximation on the complete density function space for the non-additive kinetic potential.
How to Best Choose the Outer Coarse Mesh in the Domain Decomposition Method of Bank and Jimack.
Modeling and Analysis of the Coupling in Discrete Fracture Matrix Models
Closed Form Dispersion Corrections Including a Real Shifted WaveNumber for Finite Difference Discretizations of 2D Constant Coefficient Helmholtz Problems
Is There More Than One Dirichlet--Neumann Algorithm for the Biharmonic Problem?
PARAOPT: A Parareal Algorithm for Optimality Systems
A Diagonalization-Based Parareal Algorithm for Dissipative and Wave Propagation Problems