J Park - SIAM Journal on Scientific Computing, 2024 - SIAM
We investigate additive Schwarz methods for semilinear elliptic problems with convex energy functionals, which have wide scientific applications. A key observation is that the …
J Park - Journal of Scientific Computing, 2024 - Springer
Fourth-order variational inequalities are encountered in various scientific and engineering disciplines, including elliptic optimal control problems and plate obstacle problems. In this …
J Park - SIAM Journal on Scientific Computing, 2024 - SIAM
We propose a novel universal construction of two-level overlapping Schwarz preconditioners for th-order elliptic boundary value problems, where is a positive integer …
We present new convergence analyses for subspace correction methods for semicoercive and nearly semicoercive convex optimization problems, generalizing the theory of singular …
J Park - arXiv preprint arXiv:2403.18970, 2024 - arxiv.org
We propose a novel universal construction of two-level overlapping Schwarz preconditioners for $2 m $ th-order elliptic boundary value problems, where $ m $ is a …