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Learn advanced computational techniques for modeling glacial isostatic adjustment (GIA) using the MFEM (Modular Finite Element Methods) framework in this 25-minute conference presentation from the 2025 MFEM Workshop. Explore how to couple solid-Earth deformation, self-gravitation, and sea-level change in finite element simulations while addressing the challenge of modeling gravitational potential on unbounded exterior domains. Discover three innovative exterior closure methods for self-gravitation: a Dirichlet-to-Neumann operator for exact exterior decay on spherical boundaries, multipole continuation using spherical harmonics for tunable accuracy, and infinite-element approaches for far-field decay modeling. Examine benchmarking results comparing these methods against traditional very-large-domain approaches, demonstrating superior accuracy and computational efficiency. Follow along as the presenter outlines a compact, linearized GIA formulation incorporating elasticity-gravity coupling with optional rotation, sea level, and viscoelastic effects, and see practical demonstrations of linearized gravity problems with prescribed displacement fields integrated into MFEM forward and adjoint workflows.
