LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

A novel efficient numerical solution of Laplace equation with mixed boundary conditions

Photo from wikipedia

This paper describes a new type of method to solve Laplace equation subject to mixed boundary conditions in two-dimensional domains for electrostatics. The electric potential ϕ is represented by harmonic… Click to show full abstract

This paper describes a new type of method to solve Laplace equation subject to mixed boundary conditions in two-dimensional domains for electrostatics. The electric potential ϕ is represented by harmonic Steklov eigenfunctions, obtained from a certain Steklov eigenproblem. Error estimates for this method are provided in terms of given boundary data of solutions. The key idea of the method is that Steklov eigenfuncitons could construct the orthonormal basis of the space of solutions. Some results of computational simulations on polygonal domains are presented to support the effectiveness of the new method.

Keywords: boundary conditions; efficient numerical; mixed boundary; laplace equation; novel efficient

Journal Title: International Journal of Computer Mathematics
Year Published: 2021

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.