Staff Profile:Professor Michael Baines

Name:

Professor Michael Baines

Job Title:

Professor of Applied Mathematics

Responsibilities:

Areas of Interest:

• Velocity-based moving mesh methods for nonlinear time-dependent PDEs

• Numerical symmetry preservation

• Finite element methods

Research groups / Centres:

Publications:

Book

• Moving Finite Elements (OUP) (1994)

Some recent papers

• Moving Finite Element and Moving Least Squares approximation of Steady and Time Dependent PDEs, Journal of Computational and Applied Mathematics, Elsevier, 128, 363-381 (2001).
• The Solution of Steady PDEs on Adjustable Meshes in Multidimensions using Local Descent Methods. In "Adaptive Method of Lines" (A. Van der Woude et al (ed.)). CRC Press (2001).
• Moving Meshes, Conservation Laws and Least Squares Equidistribution. Int J Num Meths Fluids, 40, pp. 3-19 (2002).
• A Lagrangian Moving Finite Element Method incorporating Monitor Functions (in "Advances in Scientific Computing and Applications. Proceedings of the 3rd Workshop on Numerical Methods for Partial Differential Equations, Hong Kong, January 2003. (Ed. Lu, W. W Sun and Tao Tang), Science Publications) (2004) (with M E Hubbard and P K Jimack).
• A Moving Mesh Finite Element Algorithm for the Adaptive Solution of Time-Dependent Partial Differential Equations with Moving Boundaries (with M. E. Hubbard and P.K. Jimack), Applied Numerical Mathematics, 54, 450-469 (2005).
• A moving mesh finite element algorithm for fluid flow problems with moving boundaries, Int J Num Meth Fluids, 47, 1077-1083 (2005) (with M. E. Hubbard and P.K. Jimack).
• Generation of Arbitrary Lagrangian-Eulerian (ALE) velocities, based on monitor functions, for the solution of compressible fluid equations , Int J Num Meth Fluids, 47, 1375-1381 (2005) (with B. V. Wells and P.Glaister).
• Scale Invariant Moving Finite Elements for Nonlinear Equations (with M. E. Hubbard and P.K. Jimack ), Applied Numerical Mathematics, 56, 230-252 (2006).
• Consistent Dirichlet Boundary Conditions for the Numerical Solution of Moving Boundary Problems (with M. E. Hubbard and P.K. Jimack), Applied Numerical Mathematics, 59, 1337-1353 (2009).
• A moving-mesh finite element method and its application to the numerical solution of phase-change problems (with M E Hubbard, P K Jimack and R. Mahmood), Communications in Computational Physics, 6, 595-624 (2009).
• Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations (with M E Hubbard and P K Jimack), Commun. Comput. Phys., Vol. 10, No. 3, pp. 509-576 (2011). 

PhD students

Peter Spence, Anna Bebington, Tamsin Lee, Dale Partridge, Nicholas Bird

Other Positions

• Visiting Professor at University of Leeds
• Ex-Director of the Institute of Computational Fluid Dynamics (ICFD)