A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems
DOI10.1007/s13137-021-00192-0zbMath1478.65114arXiv2106.04890OpenAlexW3167137520WikidataQ114220356 ScholiaQ114220356MaRDI QIDQ2074066
Stefano Berrone, F. Vicini, Denise Grappein, Stefano Scialò
Publication date: 4 February 2022
Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.04890
non-conforming meshoptimization methods for elliptic problemsdomain-decompositionthree-field3D-1D coupling
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Computational methods for problems pertaining to geophysics (86-08) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) PDE constrained optimization (numerical aspects) (49M41)
Uses Software
Cites Work
- An optimization approach for large scale simulations of discrete fracture network flows
- Theory and practice of finite elements.
- Numerical approximations of singular source terms in differential equations
- A mortar-type finite element approach for embedding 1D beams into 3D solid volumes
- An optimization approach for flow simulations in poro-fractured media with complex geometries
- 3D-1D coupling on non conforming meshes via a three-field optimization based domain decomposition
- Uncertainty quantification analysis in discrete fracture network flow simulations
- A singularity removal method for coupled 1D-3D flow models
- Two-phase discrete fracture matrix models with linear and nonlinear transmission conditions
- A mixed finite element method for modeling the fluid exchange between microcirculation and tissue interstitium
- Finite Element Approximation of Elliptic Problems with Dirac Measure Terms in Weighted Spaces: Applications to One- and Three-dimensional Coupled Problems
- Mathematical modeling, analysis and numerical approximation of second-order elliptic problems with inclusions
- Splitting method for elliptic equations with line sources
- Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction
- Parallel Meshing, Discretization, and Computation of Flow in Massive Discrete Fracture Networks
- TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator
- Unnamed Item
This page was built for publication: A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems
