# Spurious pressure in Scott-Vogelius elements

## TL;DR

This paper investigates the causes of spurious pressure modes in Scott-Vogelius finite elements at singular vertices and proposes a postprocessing method to eliminate these inaccuracies in Stokes equation solutions.

## Contribution

The paper identifies the origin of spurious pressures in Scott-Vogelius elements and introduces a simple postprocessing technique to improve solution accuracy.

## Key findings

- Spurious pressures are linked to singular vertices in Scott-Vogelius elements.
- A postprocessing method effectively removes these spurious pressures.
- Improved pressure accuracy in Stokes solutions using the proposed technique.

## Abstract

We will analyze the characteristics of Scott-Vogelius finite elements on singular vertices, which cause spurious pressures on solving Stokes equations. A simple postprocessing will be suggested to remove those spurious pressures.