3D-1D coupling on non conforming meshes via a three-field optimization based domain decomposition
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Publication:2134518
DOI10.1016/j.jcp.2021.110738OpenAlexW3202983313MaRDI QIDQ2134518
Stefano Berrone, Denise Grappein, Stefano Scialò
Publication date: 3 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.06601
optimization methods for elliptic problemsdomain-decompositionthree-field3D-1D couplingnon conforming mesh
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Flows in porous media; filtration; seepage (76Sxx)
Related Items (4)
Coupling finite element method with meshless finite difference method by means of approximation constraints ⋮ An optimization based 3D-1D coupling strategy for tissue perfusion and chemical transport during tumor-induced angiogenesis ⋮ A PDE-constrained optimization method for 3D-1D coupled problems with discontinuous solutions ⋮ A gradient based resolution strategy for a PDE-constrained optimization approach for 3D-1D coupled problems
Cites Work
- Unnamed Item
- An optimization approach for large scale simulations of discrete fracture network flows
- Modeling tissue perfusion in terms of 1d-3d embedded mixed-dimension coupled problems with distributed sources
- 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
- Uncertainty quantification analysis in discrete fracture network flow simulations
- A singularity removal method for coupled 1D-3D flow models
- Uncertainty quantification of discontinuous outputs via a non-intrusive bifidelity strategy
- Mathematical analysis, finite element approximation and numerical solvers for the interaction of 3D reservoirs with 1D wells
- A mixed finite element method for modeling the fluid exchange between microcirculation and tissue interstitium
- Null-Space Preconditioners for Saddle Point Systems
- Finite Element Approximation of Elliptic Problems with Dirac Measure Terms in Weighted Spaces: Applications to One- and Three-dimensional Coupled Problems
- ON THE COUPLING OF 1D AND 3D DIFFUSION-REACTION EQUATIONS: APPLICATION TO TISSUE PERFUSION 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
- Derivation and Application of Effective Interface Conditions for Continuum Mechanical Models of Cell Invasion through Thin Membranes
- Analysis and Approximation of Mixed-Dimensional PDEs on 3D-1D Domains Coupled with Lagrange Multipliers
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