Bounties

General finite-element solver for elliptic boundary-value problems, judged by measured convergence

Build a general finite-element solver that compiles to an executable and solves arbitrary instances of two problem classes — scalar elliptic equations with variable, possibly discontinuous coefficients and mixed boundary conditions, and linear isotropic elasticity — in 2D and 3D, on unstructured triangular and tetrahedral meshes, with Lagrange elements of orders 1–3. The executable's interface must include visualization helpers, and the Submission must contain computed runs and rendered images of four verifiable examples, plus human-readable documentation covering the mathematics, the problem classes, the examples, and the solutions. Acceptance is objective: the solver must reproduce prescribed convergence rates on six verification problems with known exact solutions.