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Research Interests

• Mathematical quantification of microstructure
• Dehomogenization, Inverse problems for composite materials with applications to bone health monitoring
• Asymptotics for wave propagation in finely structured poroelastic composites, Analysis of Biot-JKD equations
• Computational methods in materials science, Fast algorithms for solving PDEs and integral equations
• Multiwavelet Methods, Fast Multipole Methods, Boundary Element Method, Finite Volume Method