27 citations · 157 across the 31 of their papers we have counts for
3 papers · 1 filter
Anisotropic interpolation error estimates using a new geometric parameter
Hiroki Ishizaka, Kenta Kobayashi, Takuya Tsuchiya
We present precise anisotropic interpolation error estimates for smooth functions using a new geometric parameter and derive inverse inequalities on anisotropic meshes. In our theo…
Lectures on error analysis of interpolation on simplicial triangulations without the shape-regularity assumption, Part 2: Lagrange interpolation on tetrahedrons
Kenta Kobayashi, Takuya Tsuchiya
This is the second lecture note on the error analysis of interpolation on simplicial elements without the shape regularity assumption (the previous one is arXiv:1908.03894). In thi…
A new geometric condition equivalent to the maximum angle condition for tetrahedrons
Hiroki Ishizaka, Kenta Kobayashi, Ryo Suzuki +1
For a tetrahedron, suppose that all internal angles of faces and all dihedral angles are less than a fixed constant that is smaller than . Then, it is said to satisfy the ma…