Catherine E. Powell's Research Page

My research is mainly concerned with aspects of numerical analysis related to the numerical solution of partial differential equations (PDEs). In particular, I am interested in the numerical solution of PDEs with uncertain/random inputs in engineering applications and efficient and accurate numerical algorithms for uncertainty quantification (UQ).

Key Topics: numerical analysis, UQ, finite elements, mixed finite elements, error estimation, a posteriori error estimation, adaptivity, stochastic finite elements, numerical linear algebra, saddlepoint systems, fast solvers, iterative solvers, preconditioning.

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