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DOLFINx-MPC: An extension to DOLFINx for multi point constraints

Getting started

Installation

Spiders

Joining two bodies with a rigid spider (RBE2)
Spreading a load over two bodies with a flexible spider (RBE3)
A double pendulum: two beams on two pins

Periodic conditions

Anisotropic wave system with periodic boundary conditions
Periodic boundary conditions for a representative volume element
Periodic boundary conditions for a representative volume element: finite strain
Periodic boundary conditions for a three-dimensional representative volume element
Periodicity in one direction: a layer with an affine periodic part
Changing the coefficients of a multi-point constraint

Several spaces and meshes

Mortar coupling: a Lagrange multiplier on a submesh
Mortar coupling of two subdomains
Bulk–surface coupling through a submesh

Integral constraints

Fixing a mean value with an affine multi-point constraint
Prescribing a boundary average with an affine multi-point constraint
Prescribing a flow rate with an affine multi-point constraint

Slip conditions

Stokes flow with slip conditions
Stokes problem with slip condition using NEST matrices

Theory

Eliminating multi-point constraints
Multi-point constraints for nonlinear problems

Python API

dolfinx_mpc
dolfinx_mpc.utils
dolfinx_mpc.numba

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By Jørgen S. Dokken

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