Hybridizable discontinuous Galerkin methods for second-order elliptic problems: overview, a new result and open problems
B Cockburn - Japan Journal of Industrial and Applied Mathematics, 2023 - Springer
We describe, in the framework of steady-state diffusion problems, the history of the
development of the so-called hybridizable discontinuous Galerkin (HDG) methods, since …
development of the so-called hybridizable discontinuous Galerkin (HDG) methods, since …
Combining finite element space-discretizations with symplectic time-marching schemes for linear Hamiltonian systems
We provide a short introduction to the devising of a special type of methods for numerically
approximating the solution of Hamiltonian partial differential equations. These methods use …
approximating the solution of Hamiltonian partial differential equations. These methods use …
Symplectic Hamiltonian finite element methods for semilinear wave propagation
MA Sánchez, J Valenzuela - Journal of Scientific Computing, 2024 - Springer
This paper presents Hamiltonian finite element methods for approximating semilinear wave
propagation problems, including the nonlinear Klein–Gordon and sine-Gordon equations …
propagation problems, including the nonlinear Klein–Gordon and sine-Gordon equations …
Numerical analysis & no regrets. Special issue dedicated to the memory of Francisco Javier Sayas (1968–2019)
This is the preface of a special issue dedicated to the memory of Francisco Javier Sayas
who passed away on April 2, 2019. The articles reflect Sayas' main research interests in the …
who passed away on April 2, 2019. The articles reflect Sayas' main research interests in the …