Parallel efficiency of monolithic and fixed-strain solution strategies for poroelasticity problems

10/12/2022
by   Denis Anuprienko, et al.
0

Poroelasticity is an example of coupled processes which are crucial for many applications including safety assessment of radioactive waste repositories. Numerical solution of poroelasticity problems discretized with finite volume – virtual element scheme leads to systems of algebraic equations, which may be solved simultaneously or iteratively. In this work, parallel scalability of the monolithic strategy and of the fixed-strain splitting strategy is examined, which depends mostly on linear solver performance. It was expected that splitting strategy would show better scalability due to better performance of a black-box linear solver on systems with simpler structure. However, this is not always the case.

READ FULL TEXT

page 7

page 10

research
12/27/2022

A parallel solver for fluid structure interaction problems with Lagrange multiplier

The aim of this work is to present a parallel solver for a formulation o...
research
12/11/2022

DOSnet as a Non-Black-Box PDE Solver: When Deep Learning Meets Operator Splitting

Deep neural networks (DNNs) recently emerged as a promising tool for ana...
research
08/18/2020

Splitting methods for solution decomposition in nonstationary problems

In approximating solutions of nonstationary problems, various approaches...
research
11/23/2022

Monolithic parallel overlapping Schwarz methods in fully-coupled nonlinear chemo-mechanics problems

We consider the swelling of hydrogels as an example of a chemo-mechanica...
research
03/12/2023

An energy-efficient GMRES-Multigrid solver for space-time finite element computation of dynamic poro- and thermoelasticity

We present families of space-time finite element methods (STFEMs) for a ...
research
06/11/2021

Nawrotzki's Algorithm for the Countable Splitting Lemma, Constructively

We reprove the countable splitting lemma by adapting Nawrotzki's algorit...
research
11/08/2018

A Feature Complete SPIKE Banded Algorithm and Solver

New features and enhancements for the SPIKE banded solver are presented....

Please sign up or login with your details

Forgot password? Click here to reset