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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.

My main specialist area is the acoustic and electromagnetic scattering of waves in
bounded and unbounded media. The numerical tools I use to approach these problems are boundary integral and finite element methods in frequency and time domain including also Trefftz space-time discontinuous Galerkin methods. 

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.

Wave equations Engineering & Materials Science
Convolution Engineering & Materials Science
Quadrature Mathematics
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 2019

  • 28 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

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

Efficient high order algorithms for fractional integrals and fractional differential equations

Banjai, L. & Lopez-Fernandez, M., 24 Oct 2018, In : Numerische Mathematik. p. 1-29 29 p.

Research output: Contribution to journalArticle

Open Access
File
Integral-differential Equation
Fractional Integral
Fractional Differential Equation
Convolution
Quadrature