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My research focuses on numerical methods for partial differential equations, particularly interface and coupled multiphysics problems. I work on finite element and fictitious domain methods with distributed Lagrange multipliers, together with robust solvers and preconditioners for the resulting saddle-point systems.
My research focuses on numerical methods for partial differential equations, particularly interface and coupled multiphysics problems. I work on finite element and fictitious domain methods with distributed Lagrange multipliers, together with robust solvers and preconditioners for the resulting saddle-point systems.
out.mp4Adaptive Refinement for an Elliptic Interface Problem
Adaptive Refinement for an Elliptic Interface Problem
Simulation of an elliptic interface problem with an immersed flower-shaped interface and discontinuous coefficients. The problem is solved using a fictitious domain formulation with a distributed Lagrange multiplier, together with adaptive mesh refinement to improve numerical accuracy.
Collaboration: Daniele Boffi and Lucia Gastaldi
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