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MFEM Non-linear Solve #31772

@karthichockalingam

Description

@karthichockalingam

Motivation

Currently, MFEM support is only for linear solve. Further enchantment is needed to support non-linear solve in EquationSystem.

Design

This would include computing the non-linear contribution to Jacobian and Residual in EquationSystem::Mult. A test case can potentially include solving a diffusion equation with nonlinear coefficients.

Impact

The ability to solve Non-linear problems using MFEM.

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    C: FrameworkC: MFEMTickets pertaining to MFEM Backend integrationT: taskAn enhancement to the software.

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