Ukraine's leader on Thursday accused Moscow of building a new Cold War wall across Europe "between freedom and bondage", as his government said Russian shelling had killed 21 more civilians.

Three weeks into their devastating invasion, Russian forces also stood accused of bombing a theatre sheltering many civilians and marked with the word "children".

Fresh fighting broke out on the edge of Kyiv Thursday, as Russian troops strive to encircle the Ukrainian capital in their slow-moving offensive.

Satellite images of the Drama theatre on March 14 shared by private satellite company Maxar showed the words "children" clearly etched out in the ground in Russian on either side of the building
Satellite images of the Drama theatre on March 14 shared by private satellite company Maxar showed the words "children" clearly etched out in the ground in Russian on either side of the building Satellite image ©2022 Maxar Technologies via AFP

Ukrainian and Russian forces traded shell and rocket fire in the northwest of the city, AFP journalists witnessed.

Civilians ran for cover as shelling set fire to a building near a warehouse, across the road from a mall with a multiplex cinema.

Inside the warehouse's car park, a Ukranian soldier carrying a rifle ran in a crouch as gunshots crackled.

Officials across Ukraine are struggling to count the civilian dead -- with authorities saying 103 children have been killed since the invasion began -- who have been targeted in homes, hospitals, ambulances and food queues
Officials across Ukraine are struggling to count the civilian dead -- with authorities saying 103 children have been killed since the invasion began -- who have been targeted in homes, hospitals, ambulances and food queues AFP / Genya SAVILOV

A man carried a prone child in his arms into a nearby block of flats, and at least five ambulances raced towards the scene.

The 21 were killed when overnight artillery fire pounded a school and a cultural centre in the town of Merefa outside the hard-hit eastern city of Kharkiv, regional prosecutors said.

In besieged Mariupol to the south, from which officials say 30,000 civilians have now fled, rescuers were combing through the smoking rubble of the Drama Theatre.

Biden and NATO have resisted Zelensky's pleas for direct involvement against nuclear-armed Russia, warning it could lead to World War Three
Biden and NATO have resisted Zelensky's pleas for direct involvement against nuclear-armed Russia, warning it could lead to World War Three AFP / Aris Messinis

Ukrainian officials said more than 1,000 civilians had been sheltering in a basement bomb shelter beneath the theatre, and that Russian shelling was continuing. Human Rights Watch said it was at least 500.

In a searing address to the US congress, Zelensky invoked Pearl Harbor, the 9/11 attacks and Martin Luther King Jr as he showed lawmakers a video of the wrenching effect of three weeks of Russian attacks
In a searing address to the US congress, Zelensky invoked Pearl Harbor, the 9/11 attacks and Martin Luther King Jr as he showed lawmakers a video of the wrenching effect of three weeks of Russian attacks POOL via AFP / J. Scott Applewhite

President Volodymyr Zelensky said the "number of dead is not yet known" at the theatre, but the airborne attack showed "Russia has become a terrorist state".

Zelensky addressed the German parliament a day after a speech to the US Congress, when he secured $1 billion in new US military aid, including Stinger anti-aircraft missiles like those used against Soviet forces in Afghanistan.

Zelensky reached back to that Cold War era as he drew on a 1987 speech in Berlin by US president Ronald Reagan: "Dear Mr Scholz, tear down this wall," he implored German Chancellor Olaf Scholz.

Graphic showing the advance of Russian troops in Ukraine as of March 13, 20:00 GMT.
Graphic showing the advance of Russian troops in Ukraine as of March 13, 20:00 GMT. AFP / STAFF

"It's not a Berlin Wall -- it is a wall in central Europe between freedom and bondage and this wall is growing bigger with every bomb."

In an overnight video message, Zelensky also urged Russians to lay down their arms and abandon an invasion that has drawn tough Western sanctions against President Vladimir Putin's regime.

"If your war, the war against the Ukrainian people, continues, Russia's mothers will lose more children than in the Afghan and Chechen wars combined," he said, referring to the thousands lost in those conflicts.

Officials across Ukraine are struggling to count the civilian dead -- with authorities saying 103 children have been killed since the invasion began -- who have been targeted in homes, hospitals, ambulances and food queues
Officials across Ukraine are struggling to count the civilian dead -- with authorities saying 103 children have been killed since the invasion began -- who have been targeted in homes, hospitals, ambulances and food queues AFP / Genya SAVILOV

US President Joe Biden called Putin a "war criminal", triggering fury in the Kremlin, as the Russian leader also lashed out at "scum and traitors" at home who he said were undermining the war effort.

A Kyiv apartment block damaged by a downed rocket
A Kyiv apartment block damaged by a downed rocket AFP / FADEL SENNA

Without offering evidence, Russia's defence ministry accused Ukraine's far-right Azov Battalion of blowing up the theatre in Mariupol.

Local officials say more than 2,000 people have died so far in indiscriminate Chechnya-style shelling of the port city, and 80 percent of its housing has been destroyed.

People fleeing Mariupol said they were forced to melt snow for drinking water and cook food scraps on open fires, with water and power supplies cut off.

"In the streets there are the bodies of many dead civilians," Tamara Kavunenko, 58, told AFP after reaching the central city of Zaporizhzhia.

Map of Ukraine locating areas where major explosions, strikes and fighting have been reported and under Russian control. Updated as of March 8, 2022, at 2000 GMT
Map of Ukraine locating areas where major explosions, strikes and fighting have been reported and under Russian control. Updated as of March 8, 2022, at 2000 GMT AFP / Kenan AUGEARD

"It's not Mariupol anymore," she said. "It is hell."

Satellite images of the Drama Theatre on March 14 shared by private satellite company Maxar showed the word "children" clearly written in Russian on the pavement on either side of the building.

Officials posted a photo of the building, its middle part completely destroyed and thick white smoke rising from the ruins.

Mariupol mayor Vadim Boychenko described the strike on the theatre as an act of "genocide".

US Secretary of State Antony Blinken stressed targeting civilians was a "war crime", while the Group of Seven most industrialised nations warned perpetrators would be "held responsible".

The broader economic consequences from the war could cut global growth by "over one percentage point" in the next 12 months, the Organisation for Economic Cooperation and Development said.

But NATO members have resisted Zelensky's pleas for direct involvement through a no-fly zone over Ukraine, warning it could lead to World War III against nuclear-armed Russia.

Putin, at a televised government meeting Wednesday, insisted the invasion was "developing successfully", adding: "We will not allow Ukraine to serve as a springboard for aggressive actions against Russia."

He also condemned the Western sanctions as "economic blitzkrieg", after Russia was frozen out of much of the Western financial system.

But Russia's finance ministry said Thursday it had made interest payments worth $117.2 million on two foreign bonds, avoiding a default for now.

More than three million Ukrainians have fled across the border, mostly women and children, according to the UN.

With stop-start peace talks ongoing, officials in Kyiv said Russia had agreed to nine humanitarian corridors Thursday for fleeing refugees, including one out of Mariupol.

Red Cross chief Peter Maurer said the safe passage established Tuesday out of the northeastern city of Sumy gave grounds for some optimism.

Kremlin spokesman Dmitry Peskov had said a "compromise" outcome in the talks would centre on Ukraine becoming a neutral state comparable to Sweden and Austria -- an idea rejected by Kyiv.

French Foreign Minister Jean-Yves Le Drian told Le Parisien newspaper that Russia persisted with "maximalist demands -- wanting Ukraine to surrender and intensifying siege warfare".

Pro-Kremlin Chechen strongman Ramzan Kadyrov said 1,000 fighters led by one of his relatives were en route "to take part in the special operation of denazification and demilitarization of Ukraine".

Civilians in bomb shelters do what they can to help forget the war raging outside -- even just for a while.

From her shelter in Ukraine's second city Kharkiv, Vera Lytovchenko has become a social media sensation with her violin performances and used the attention to launch a fundraiser.

"I don't want to feel helpless," said the soloist.

"I want to help my friends and music teachers who have lost their homes, their jobs, their instruments."