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Personal profile

Research interests

The broad area of my research is numerical analysis/computational mathematics. I work on
the development, rigorous analysis and efficient implementation of computational algorithms for
problems coming from physics and engineering.

I have worked on boundary and finite element and also on space-time methods for both steady state and and time-domain problems. These include wave scattering problems, both acoustic and electromagnetic,  and Schroedinger equations. There has been a strong emphasis in my work on the development and analysis of fast methods for non-local problems. These include both boundary integral equations and non-local/fractional differential operators.

Further, I am active in the development and analysis of numerical eigenvalue computations and in computational complex analysis.  Here I have worked on pseudospectral, finite element and multigrid methods.

Fingerprint Dive into the research topics where Lehel Banjai is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Convolution Engineering & Materials Science
Quadrature Mathematics
Wave equations Engineering & Materials Science
Wave equation Mathematics
Runge-Kutta Mathematics
Boundary Integral Equations Mathematics
Time Domain Mathematics
Discretization Mathematics

Co Author Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 2001 2020

  • 29 Article
  • 2 Conference contribution
  • 1 Other chapter contribution

Runge–Kutta convolution quadrature for operators arising in wave propagation

Banjai, L., Lubich, C. & Melenk, J. M., 19 Apr 2011, In : Numerische Mathematik. 119, 1, p. 1-20 20 p.

Research output: Contribution to journalArticle

Numerical solution of exterior Maxwell problems by Galerkin BEM and Runge–Kutta convolution quadrature

Ballani, J., Banjai, L., Sauter, S. & Veit, A., 2013, In : Numerische Mathematik. 123, 4, p. 1-18 19 p.

Research output: Contribution to journalArticle

A PDE approach to fractional diffusion: a space-fractional wave equation

Banjai, L. & Otárola, E., Sep 2019, In : Numerische Mathematik. 143, 1, p. 177-222 46 p.

Research output: Contribution to journalArticle

Fractional Diffusion
Wave equations
Wave equation
Fractional
Hp-FEM

Numerical approximation of the Schrödinger equation with concentrated potential

Banjai, L. & López-Fernández, M., 9 Dec 2019, In : Journal of Computational Physics. 405, 109155.

Research output: Contribution to journalArticle

Numerical Approximation
approximation
Quadrature
Computational Cost
Convolution

Convolution quadrature for the wave equation with a nonlinear impedance boundary condition

Banjai, L. & Rieder, A., 2018, In : Mathematics of Computation. 87, 312, p. 1783-1819 37 p.

Research output: Contribution to journalArticle

Open Access
File
Optimal Rates
Boundary Integral
Boundary Integral Equations
Acoustic Waves
Quadrature