Finite element discretization, weak forms, sparse assembly, boundary conditions, convergence testing, and solver verification.
Computational modeling of coupled transport, phase evolution, heat/diffusion processes, and materials behavior.
MATLAB-based research implementation, numerical experiments, visualization, reproducible workflows, and technical documentation.
Research direction in finite element methods, numerical PDEs, scientific computing, and phase-field-type models.
Engineering foundation supporting mechanics, modeling, and computational simulation interests.
Technical basis for physics-based modeling and engineering applications.
Private framework for sparse FEM assembly, boundary conditions, time stepping, verification, and visualization.
Computational work involving coupled fields, stability-aware time discretization, and verification studies.
Teaching and grading experience in vectors, multivariable calculus, line/surface integrals, and visualization.