The authors derive rigorous a posteriori error bounds in the L^∞(L²) norm for an arbitrary-order space-time FEM for the wave equation that supports adaptive mesh modification via temporal reconstructions.
Title resolution pending
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
verdicts
UNVERDICTED 3representative citing papers
Derives fully-discrete a priori and semi-discrete a posteriori error estimates for a C^0-in-time discontinuous-continuous Galerkin discretization of the wave equation, with explicit constants and a C^1 reconstruction operator.
The authors prove existence of optimal controls for a 2D ternary mixture model with evaporation and derive first-order necessary optimality conditions using the adjoint system.
citing papers explorer
-
A posteriori error analysis and adaptivity of a space-time finite element method for the wave equation in second order formulation
The authors derive rigorous a posteriori error bounds in the L^∞(L²) norm for an arbitrary-order space-time FEM for the wave equation that supports adaptive mesh modification via temporal reconstructions.
-
A priori and a posteriori error estimates of a $\mathcal C^0$-in-time method for the wave equation in second order formulation
Derives fully-discrete a priori and semi-discrete a posteriori error estimates for a C^0-in-time discontinuous-continuous Galerkin discretization of the wave equation, with explicit constants and a C^1 reconstruction operator.
-
Optimal control problem for a nonlinear nonlocal evolution system describing an interacting ternary mixture with an evaporating component: 2D case with bulk evaporation
The authors prove existence of optimal controls for a 2D ternary mixture model with evaporation and derive first-order necessary optimality conditions using the adjoint system.